* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))) R) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]taylor: Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) into (- (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda2 2)) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (pow phi1 2))) (* 2 (* (pow (cos (* 1/2 phi1)) 2) (* lambda1 lambda2)))) * [misc]backup-simplify: Simplify (sqrt (- (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda2 2)) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (pow phi1 2))) (* 2 (* (pow (cos (* 1/2 phi1)) 2) (* lambda1 lambda2))))) into (sqrt (- (+ (pow phi1 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* (pow (cos (* 1/2 phi1)) 2) (* lambda1 lambda2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1))))) * [misc]backup-simplify: Simplify (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1)))))) (* (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))) into (- (* 2 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (+ (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2))) (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1)))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* phi1 -1) (* -1 phi1)) into (- (* 2 phi1)) * [misc]backup-simplify: Simplify (+ (- (* 2 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (+ (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2))) (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1)))))) (- (* 2 phi1))) into (- (* 2 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (+ (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1)))) (+ (* 2 phi1) (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2)))))) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (+ (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1)))) (+ (* 2 phi1) (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2)))))) (* 2 (sqrt (- (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda2 2)) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (pow phi1 2))) (* 2 (* (pow (cos (* 1/2 phi1)) 2) (* lambda1 lambda2))))))) into (* 1/2 (* (- (* 2 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (+ (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1)))) (+ (* 2 phi1) (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2)))))) (sqrt (/ 1 (- (+ (pow phi1 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* (pow (cos (* 1/2 phi1)) 2) (* lambda1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]taylor: Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (- lambda1 lambda2) (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (- lambda1 lambda2) (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ 0 (- phi2)) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ 0 (- phi2)) into (- phi2) * [misc]backup-simplify: Simplify (* (- phi2) (- phi2)) into (pow phi2 2) * [misc]backup-simplify: Simplify (+ (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)) into (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda1 lambda2)))) * [misc]backup-simplify: Simplify (sqrt (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda1 lambda2))))) into (sqrt (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (pow phi2 2))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda1 lambda2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2))))) * [misc]backup-simplify: Simplify (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2)))))) (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2))))) (* (- lambda1 lambda2) (cos (* 1/2 phi2))))) into (- (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2))) (* (cos (* 1/2 phi2)) (* lambda1 (* (sin (* 1/2 phi2)) lambda2)))) (+ (* (cos (* 1/2 phi2)) (* (pow lambda1 2) (sin (* 1/2 phi2)))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- phi2) 1) (* 1 (- phi2))) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (+ (- (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2))) (* (cos (* 1/2 phi2)) (* lambda1 (* (sin (* 1/2 phi2)) lambda2)))) (+ (* (cos (* 1/2 phi2)) (* (pow lambda1 2) (sin (* 1/2 phi2)))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))) (- (* 2 phi2))) into (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* 2 phi2)))) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (* 2 phi2)))) (* 2 (sqrt (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda1 lambda2))))))) into (* 1/2 (* (- (* 2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))) (+ (* 2 phi2) (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (pow phi2 2))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1) * [misc]backup-simplify: Simplify (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ phi1 (- phi2)) into (- phi1 phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ phi1 (- phi2)) into (- phi1 phi2) * [misc]backup-simplify: Simplify (* (- phi1 phi2) (- phi1 phi2)) into (pow (- phi1 phi2) 2) * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (pow (- phi1 phi2) 2)) into (- (+ (pow phi1 2) (+ (pow phi2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (sqrt (- (+ (pow phi1 2) (+ (pow phi2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi1 2) (+ (pow phi2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) (* 2 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (- (cos (* 1/2 (+ phi1 phi2))))) (* (- (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- phi1 phi2) 0) (* 0 (- phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 0) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (* 2 (sqrt (- (+ (pow phi1 2) (+ (pow phi2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) (sqrt (/ 1 (- (+ (pow phi1 2) (+ (pow phi2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) (* 2 (* phi1 phi2))))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ phi1 (- phi2)) into (- phi1 phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ phi1 (- phi2)) into (- phi1 phi2) * [misc]backup-simplify: Simplify (* (- phi1 phi2) (- phi1 phi2)) into (pow (- phi1 phi2) 2) * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (pow (- phi1 phi2) 2)) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- phi1 phi2) 0) (* 0 (- phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) 0) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) (* 2 (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ phi1 (- phi2)) into (- phi1 phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ phi1 (- phi2)) into (- phi1 phi2) * [misc]backup-simplify: Simplify (* (- phi1 phi2) (- phi1 phi2)) into (pow (- phi1 phi2) 2) * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (pow (- phi1 phi2) 2)) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- phi1 phi2) 0) (* 0 (- phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) 0) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) (* 2 (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))))) * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (+ 0 (+ (pow phi1 2) (pow phi2 2))) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (+ (+ (pow phi1 2) (pow phi2 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (sqrt (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (pow phi1 2) (pow phi2 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 (pow phi2 2)) into (pow phi2 2) * [misc]backup-simplify: Simplify (* 0 phi2) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) * [misc]backup-simplify: Simplify (sqrt (pow phi2 2)) into phi2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (/ (- (* 2 phi2)) (* 2 (sqrt (pow phi2 2)))) into -1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* -1 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (+ 0 (+ (pow phi1 2) (pow phi2 2))) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (+ (+ (pow phi1 2) (pow phi2 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) into 0 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) 0) (+ (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (* 0 (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- phi1 phi2) 0) (+ (* 0 0) (* 0 (- phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (* -1 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 2) (+)) (* 2 (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 2)) (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 2)) (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 2)) (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (+ 0 (+ (pow phi1 2) (pow phi2 2))) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (+ (+ (pow phi1 2) (pow phi2 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) into 0 * [misc]taylor: Taking taylor expansion of (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 2)) (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 2)) (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 4 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 4 in lambda2 * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 4 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 4 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 4 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (+ 0 (+ (pow phi1 2) (pow phi2 2))) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (+ (+ (pow phi1 2) (pow phi2 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (pow phi1 2) (pow phi2 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 (pow phi2 2)) into (pow phi2 2) * [misc]backup-simplify: Simplify (* 0 phi2) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) * [misc]backup-simplify: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ phi1 phi2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) (* 0 0)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (+ (* -1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) (* 0 0)) into (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) * [misc]taylor: Taking taylor expansion of (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (pow phi1 2) (pow phi2 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 (pow phi2 2)) into (pow phi2 2) * [misc]backup-simplify: Simplify (* 0 phi2) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) * [misc]backup-simplify: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) * [misc]backup-simplify: Simplify (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) * [misc]taylor: Taking taylor expansion of (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (pow phi1 2) (pow phi2 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 (pow phi2 2)) into (pow phi2 2) * [misc]backup-simplify: Simplify (* 0 phi2) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) * [misc]backup-simplify: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 phi2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow -1 2) (+)) (* 2 phi2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* phi2 (* 1 (* 1 1)))) (* -1 (* 1 (* phi1 (* 1 1))))) into (- phi2 phi1) * [misc]approximate: Taking taylor expansion of (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))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (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))))) in phi2 * [misc]taylor: Taking taylor expansion of (+ (* (* (- (/ 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)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) 0) into (/ 1 phi1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) 0) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 phi1)) (* (/ 1 phi1) -1)) into (- (* 2 (/ 1 phi1))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (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))))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (* (* (- (/ 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)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 phi2)) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 phi2))) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 phi2)) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 phi2))) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 phi2))) (* (- (/ 1 phi2)) 1)) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of (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))))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (* (* (- (/ 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)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) (* (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1) (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1))) * [misc]backup-simplify: Simplify (+ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1))) 0) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) * [misc]taylor: Taking taylor expansion of (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))))) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (* (* (- (/ 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)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (+ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) 0) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]taylor: Taking taylor expansion of (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))))) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (* (* (- (/ 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)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (+ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) 0) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]taylor: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of -1 in phi1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (- (/ 1 phi2)) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (- (/ 1 phi2))) into (- (/ 1 phi1) (/ 1 phi2)) * [misc]backup-simplify: Simplify (- (/ 1 phi2)) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (- (/ 1 phi2))) into (- (/ 1 phi1) (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) into (pow (- (/ 1 phi1) (/ 1 phi2)) 2) * [misc]backup-simplify: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) (pow (- (/ 1 phi1) (/ 1 phi2)) 2)) into (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (/ (- (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) 2) (+)) (* 2 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]taylor: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) 0) (+ (* 0 (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 phi1) (/ 1 phi2)) 0) (* 0 (- (/ 1 phi1) (/ 1 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))))) (* 2 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 1/2 (/ (- (+ (/ 1 (* (pow phi2 2) lambda2)) (/ 1 (* (pow phi1 2) lambda2))) (* 2 (/ 1 (* phi1 (* phi2 lambda2))))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* (pow phi2 2) lambda2)) (/ 1 (* (pow phi1 2) lambda2))) (* 2 (/ 1 (* phi1 (* phi2 lambda2))))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (* (pow phi2 2) lambda2)) (/ 1 (* (pow phi1 2) lambda2))) (* 2 (/ 1 (* phi1 (* phi2 lambda2))))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (* (pow phi2 2) lambda2)) (/ 1 (* (pow phi1 2) lambda2))) (* 2 (/ 1 (* phi1 (* phi2 lambda2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (pow phi2 2) lambda2)) (/ 1 (* (pow phi1 2) lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow phi2 2) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow phi2 2) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (pow phi2 2) 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow phi2 2) 1) (* 0 0)) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow phi1 2) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow phi1 2) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (pow phi1 2) 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow phi1 2) 1) (* 0 0)) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 (* phi2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 (* phi2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 (* phi2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of (* phi2 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* phi2 0) into 0 * [misc]backup-simplify: Simplify (* phi1 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi2 1) (* 0 0)) into phi2 * [misc]backup-simplify: Simplify (+ (* phi1 phi2) (* 0 0)) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) * [misc]backup-simplify: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into (- (* 2 (/ 1 (* phi2 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* phi2 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (/ 1 (* phi2 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* phi2 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi2 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of (* phi2 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) * [misc]backup-simplify: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into (- (* 2 (/ 1 (* phi2 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* phi2 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (/ 1 (* phi2 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* phi2 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi2 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of (* phi2 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 (/ 1 phi2)) (/ 1 (/ 1 phi1)))))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1)))) (+ (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi2)) (/ 1 (/ 1 phi1))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* 1 (/ 1 lambda1))))) (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi2)) (/ 1 (/ 1 phi1))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* (/ 1 (/ 1 lambda2)) (pow (/ 1 lambda1) 2))))))) into (- (+ (/ (* phi1 (* phi2 lambda2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (* (cos (* 1/2 (+ phi1 phi2))) lambda2) (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1))))) * [misc]approximate: Taking taylor expansion of (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)))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (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)))))) in phi2 * [misc]taylor: Taking taylor expansion of (+ (* (* (- (/ 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))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) 0) into (- (/ 1 phi1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) 0) into (- (/ 1 phi1)) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 phi1))) (* (- (/ 1 phi1)) 1)) into (- (* 2 (/ 1 phi1))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (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)))))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (* (* (- (/ 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))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 phi2)) (* (/ 1 phi2) -1)) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of (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)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (* (* (- (/ 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))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1))) (* (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1))) * [misc]backup-simplify: Simplify (+ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1))) 0) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) * [misc]taylor: Taking taylor expansion of (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (* (* (- (/ 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))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (+ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) 0) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]taylor: Taking taylor expansion of (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (* (* (- (/ 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))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (+ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) 0) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]taylor: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of -1 in phi1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (- (/ -1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ 1 phi2)) into (- (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (- (/ -1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ 1 phi2)) into (- (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (- (/ 1 phi2) (/ 1 phi1)) (- (/ 1 phi2) (/ 1 phi1))) into (pow (- (/ 1 phi2) (/ 1 phi1)) 2) * [misc]backup-simplify: Simplify (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) (pow (- (/ 1 phi2) (/ 1 phi1)) 2)) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) 2) (+)) (* 2 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]taylor: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) 0) (+ (* 0 (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 phi2) (/ 1 phi1)) 0) (* 0 (- (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))))) (* 2 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 1/2 (/ (- (+ (/ 1 (* (pow phi2 2) lambda2)) (/ 1 (* (pow phi1 2) lambda2))) (* 2 (/ 1 (* phi1 (* phi2 lambda2))))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* (pow phi2 2) lambda2)) (/ 1 (* (pow phi1 2) lambda2))) (* 2 (/ 1 (* phi1 (* phi2 lambda2))))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (* (pow phi2 2) lambda2)) (/ 1 (* (pow phi1 2) lambda2))) (* 2 (/ 1 (* phi1 (* phi2 lambda2))))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (* (pow phi2 2) lambda2)) (/ 1 (* (pow phi1 2) lambda2))) (* 2 (/ 1 (* phi1 (* phi2 lambda2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (pow phi2 2) lambda2)) (/ 1 (* (pow phi1 2) lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow phi2 2) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow phi2 2) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (pow phi2 2) 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow phi2 2) 1) (* 0 0)) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow phi1 2) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow phi1 2) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (pow phi1 2) 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow phi1 2) 1) (* 0 0)) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 (* phi2 lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 (* phi2 lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 (* phi2 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of (* phi2 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* phi2 0) into 0 * [misc]backup-simplify: Simplify (* phi1 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi2 1) (* 0 0)) into phi2 * [misc]backup-simplify: Simplify (+ (* phi1 phi2) (* 0 0)) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) * [misc]backup-simplify: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) phi2)))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) phi2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) phi2) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) * [misc]backup-simplify: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) phi2)))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) phi2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) phi2) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi2))) (/ 1 (/ 1 (- phi1))))))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1)))) (+ (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi2))) (/ 1 (/ 1 (- phi1)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* 1 (/ 1 (- lambda1)))))) (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi2))) (/ 1 (/ 1 (- phi1)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* (/ 1 (/ 1 (- lambda2))) (pow (/ 1 (- lambda1)) 2))))))) into (+ (/ (* phi1 (* phi2 lambda2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (* (cos (* 1/2 (+ phi1 phi2))) lambda2) (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/8 in phi2 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (- 1/8) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/8 (pow phi1 2)) (* 1/4 (* phi1 phi2)))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi2)) (/ 1 (/ 1 phi1))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi2))) (/ 1 (/ 1 (- phi1)))))) into (cos (* 1/2 (+ phi1 phi2))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 phi2) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/8 in phi2 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify (- 1/8) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/8 (pow phi1 2)) (* 1/4 (* phi1 phi2)))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi2)) (/ 1 (/ 1 phi1))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in (phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi2))) (/ 1 (/ 1 (- phi1)))))) into (cos (* 1/2 (+ phi1 phi2))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]taylor: Taking taylor expansion of (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) 0) (+ (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (* 0 (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ phi1 phi2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) (* 0 0)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (+ (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 0 0)) into (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) * [misc]taylor: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]backup-simplify: Simplify (* 2 (pow (cos (* 1/2 phi2)) 2)) into (* 2 (pow (cos (* 1/2 phi2)) 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* 1/2 phi2)) 2))) into (- (* 2 (pow (cos (* 1/2 phi2)) 2))) * [misc]taylor: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (pow (cos (* 1/2 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (* lambda1 lambda2))) * [misc]approximate: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]taylor: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]taylor: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi2)) (/ 1 (/ 1 phi1))))) 2) (pow (* 1 (* 1 (* 1 (/ 1 (/ 1 lambda1))))) 2)) (+ (* (- (* 2 (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi2)) (/ 1 (/ 1 phi1))))) 2))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) (/ 1 (/ 1 lambda1)))))) (* (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi2)) (/ 1 (/ 1 phi1))))) 2) (pow (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1))) 2)))) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda1 lambda2)))) * [misc]approximate: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]taylor: Taking taylor expansion of (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]taylor: Taking taylor expansion of (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi2))) (/ 1 (/ 1 (- phi1)))))) 2) (pow (* 1 (* 1 (* 1 (/ 1 (/ 1 (- lambda1)))))) 2)) (+ (* (- (* 2 (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi2))) (/ 1 (/ 1 (- phi1)))))) 2))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) (* (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi2))) (/ 1 (/ 1 (- phi1)))))) 2) (pow (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1))) 2)))) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda1 lambda2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (log (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * * * * [misc]progress: [ 4 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * * * * [misc]progress: [ 5 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * * * * [misc]progress: [ 6 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) * [exit]simplify: Simplified to (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) * * * * [misc]progress: [ 7 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * * * * [misc]progress: [ 8 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * * * * [misc]progress: [ 9 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) * * * * [misc]progress: [ 10 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- (pow phi1 3) (pow phi2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (- (pow phi1 3) (pow phi2 3)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 11 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 12 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) * [enter]simplify: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 13 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (fabs (* (+ phi2 phi1) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * [exit]simplify: Simplified to (fabs (* (+ phi2 phi1) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * * * * [misc]progress: [ 14 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (383 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) * * * * [misc]progress: [ 15 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * * * * [misc]progress: [ 16 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (383 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) * * * * [misc]progress: [ 17 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * * * * [misc]progress: [ 18 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * * * * [misc]progress: [ 19 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (492 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ lambda1 lambda2) (- (pow phi1 3) (pow phi2 3)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (+ lambda1 lambda2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (+ lambda1 lambda2) (+ phi2 phi1))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * * * * [misc]progress: [ 20 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (- (pow phi1 3) (pow phi2 3)) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (* (- (pow phi1 3) (pow phi2 3)) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (432 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (+ lambda1 lambda2) (+ phi1 phi2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (+ lambda1 lambda2) (+ phi1 phi2))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) * * * * [misc]progress: [ 21 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- lambda1 lambda2))))) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (+ phi1 phi2) (- lambda1 lambda2))))) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (- phi1 phi2))) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ phi1 phi2))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ phi1 phi2))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * * * * [misc]progress: [ 22 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- phi1 phi2))) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- phi1 phi2))) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) * [enter]simplify: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) * * * * [misc]progress: [ 23 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) * [enter]simplify: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (+ phi1 phi2)))) * * * * [misc]progress: [ 24 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) * * * * [misc]progress: [ 25 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (* (+ phi1 phi2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) * [enter]simplify: Simplifying (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (* (+ lambda1 lambda2) (+ phi1 phi2)))) * * * * [misc]progress: [ 26 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) * * * * [misc]progress: [ 27 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ lambda1 lambda2)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ lambda1 lambda2)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ lambda2 lambda1)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ lambda2 lambda1)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) * * * * [misc]progress: [ 28 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (* (+ phi2 phi1) (+ lambda1 lambda2)) (- phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (* (+ phi2 phi1) (+ lambda1 lambda2)) (- phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (+ phi1 phi2) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (+ phi1 phi2) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) * * * * [misc]progress: [ 29 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (+ lambda1 lambda2)) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) * * * * [misc]progress: [ 30 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- phi1 phi2) (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- phi1 phi2) (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) * * * * [misc]progress: [ 31 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (332 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (+ lambda1 lambda2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (* (- phi1 phi2) (* (+ phi2 phi1) (+ lambda1 lambda2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi1 phi2) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi1 phi2) (+ lambda2 lambda1)))) * * * * [misc]progress: [ 32 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cos (/ (+ phi2 phi1) 2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- phi1 phi2))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))))) * * * * [misc]progress: [ 33 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (345 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (+ lambda1 lambda2))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi1 phi2) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (+ phi1 phi2) (+ lambda2 lambda1)))) * * * * [misc]progress: [ 34 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (+ lambda1 lambda2))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * [exit]simplify: Simplified to (fabs (* (+ lambda2 lambda1) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) * [exit]simplify: Simplified to (fabs (* (+ lambda2 lambda1) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) * * * * [misc]progress: [ 35 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (429 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (+ phi1 phi2)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ lambda2 lambda1) (+ lambda2 lambda1)) (+ phi1 phi2)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) * * * * [misc]progress: [ 36 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (432 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (+ lambda2 lambda1) (+ phi1 phi2)) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (+ lambda2 lambda1) (+ phi1 phi2)) (+ lambda2 lambda1)))) * * * * [misc]progress: [ 37 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda2 lambda1) (+ phi1 phi2)) (* (+ lambda2 lambda1) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda2 lambda1) (+ phi1 phi2)) (* (+ lambda2 lambda1) (+ phi1 phi2)))) * * * * [misc]progress: [ 38 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) * * * * [misc]progress: [ 39 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (+ lambda1 lambda2) (- phi1 phi2))) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (- phi1 phi2)) (* (+ lambda1 lambda2) (- phi1 phi2))) (+ phi2 phi1)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (+ phi1 phi2)))) * * * * [misc]progress: [ 40 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) * * * * [misc]progress: [ 41 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ lambda1 lambda2)) (* (+ phi2 phi1) (+ lambda1 lambda2))) (- phi1 phi2)) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ lambda1 lambda2)) (* (+ phi2 phi1) (+ lambda1 lambda2))) (- phi1 phi2)) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ lambda2 lambda1) (+ phi1 phi2)))) * * * * [misc]progress: [ 42 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) * * * * [misc]progress: [ 43 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * * * * [misc]progress: [ 44 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* (+ phi2 phi1) phi1)) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* (+ phi2 phi1) phi1)) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * * * * [misc]progress: [ 45 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) * * * * [misc]progress: [ 46 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * * * * [misc]progress: [ 47 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ phi2 phi1))) * [exit]simplify: Simplified to (sqrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ phi2 phi1))) * * * * [misc]progress: [ 48 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * * * * [misc]progress: [ 49 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (448 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ phi2 phi1))) * [exit]simplify: Simplified to (sqrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ phi2 phi1))) * * * * [misc]progress: [ 50 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ lambda2 lambda1)))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))) * * * * [misc]progress: [ 51 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (* (+ lambda2 lambda1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (* (+ lambda2 lambda1) (+ phi2 phi1)))) * * * * [misc]progress: [ 52 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ phi1 phi2))) (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda2 lambda1) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ phi1 phi2))) (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda2 lambda1) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (+ lambda2 lambda1) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (+ lambda2 lambda1) (+ phi1 phi2)))) * * * * [misc]progress: [ 53 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (+ (* (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ lambda2 lambda1)) (+ phi1 phi2)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (+ (* (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ lambda2 lambda1)) (+ phi1 phi2)) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ phi1 phi2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ phi1 phi2) (+ phi1 phi2)))) * * * * [misc]progress: [ 54 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cos (/ (+ phi1 phi2) 2))))) * [exit]simplify: Simplified to (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda2 lambda1) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cos (/ (+ phi1 phi2) 2))))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ lambda2 lambda1))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ lambda2 lambda1))) * * * * [misc]progress: [ 55 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda2 lambda1) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ lambda2 lambda1) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2))) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2))) * * * * [misc]progress: [ 56 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cos (/ (+ phi1 phi2) 2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cos (/ (+ phi1 phi2) 2))))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ lambda2 lambda1))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ lambda2 lambda1))) * * * * [misc]progress: [ 57 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ lambda2 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2))) (* (* (- phi1 phi2) (+ lambda2 lambda1)) (* (+ phi1 phi2) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2))) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2))) * * * * [misc]progress: [ 58 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) * * * * [misc]progress: [ 59 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (+ (* (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (+ (* (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * * * * [misc]progress: [ 60 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* (+ phi2 phi1) phi1)) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* (+ phi2 phi1) phi1)) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * * * * [misc]progress: [ 61 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ phi2 phi1)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) * * * * [misc]progress: [ 62 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * * * * [misc]progress: [ 63 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ phi2 phi1))) * [exit]simplify: Simplified to (sqrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ phi2 phi1))) * * * * [misc]progress: [ 64 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * * * * [misc]progress: [ 65 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ phi1 phi2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) * [exit]simplify: Simplified to (sqrt (+ (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ phi1 phi2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) * [enter]simplify: Simplifying (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ phi2 phi1))) * [exit]simplify: Simplified to (sqrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ phi2 phi1))) * * * * [misc]progress: [ 66 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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))) (+ lambda1 lambda2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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))) (+ lambda1 lambda2)))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))) * * * * [misc]progress: [ 67 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (+ (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (+ (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (* (+ lambda2 lambda1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (* (+ lambda2 lambda1) (+ phi2 phi1)))) * * * * [misc]progress: [ 68 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ lambda1 lambda2) (+ phi2 phi1)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (+ lambda1 lambda2) (+ phi2 phi1)) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (+ lambda2 lambda1) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (+ lambda2 lambda1) (+ phi1 phi2)))) * * * * [misc]progress: [ 69 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda1 lambda2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ phi2 phi1) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (+ lambda1 lambda2) (* (+ phi2 phi1) (- phi1 phi2))) (* (+ phi2 phi1) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ phi1 phi2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (* (+ phi1 phi2) (+ phi1 phi2)))) * * * * [misc]progress: [ 70 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (- phi1 phi2))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ lambda2 lambda1))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ lambda2 lambda1))) * * * * [misc]progress: [ 71 / 141 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (465 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (+ phi2 phi1))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2))) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2))) * * * * [misc]progress: [ 72 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ lambda2 lambda1))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ lambda2 lambda1))) * * * * [misc]progress: [ 73 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (454 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (* (* (- phi1 phi2) (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi2 phi1))))) * [enter]simplify: Simplifying (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2))) * [exit]simplify: Simplified to (sqrt (* (+ lambda2 lambda1) (+ phi1 phi2))) * * * * [misc]progress: [ 74 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (pow (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) 3) (pow (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) 3)) (* (pow (- phi1 phi2) 3) (pow (- phi1 phi2) 3)))) * [exit]simplify: Simplified to (sqrt (+ (* (pow (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) 3) (pow (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) 3)) (* (pow (- phi1 phi2) 3) (pow (- phi1 phi2) 3)))) * [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))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (sqrt (- (+ (pow (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ 1 3)) (pow (- phi1 phi2) (+ 1 3))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) * [exit]simplify: Simplified to (sqrt (- (+ (pow (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ 1 3)) (pow (- phi1 phi2) (+ 1 3))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) * * * * [misc]progress: [ 75 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ 1 3)) (pow (- phi1 phi2) (+ 1 3)))) * [exit]simplify: Simplified to (sqrt (- (pow (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ 1 3)) (pow (- phi1 phi2) (+ 1 3)))) * [enter]simplify: Simplifying (sqrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- phi1 phi2)) (+ (- phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (- (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (- phi1 phi2)) (+ (- phi1 phi2) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) * * * * [misc]progress: [ 76 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * * * * [misc]progress: [ 77 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (+ phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (cos (/ (+ phi2 phi1) 2))) * [exit]simplify: Simplified to (log (cos (/ (+ phi2 phi1) 2))) * * * * [misc]progress: [ 81 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (+ phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (cos (/ (+ phi2 phi1) 2))) * [exit]simplify: Simplified to (exp (cos (/ (+ phi2 phi1) 2))) * * * * [misc]progress: [ 82 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) * [enter]simplify: Simplifying (cbrt (cos (/ (+ phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ (+ phi2 phi1) 2))) * [exit]simplify: Simplified to (cbrt (cos (/ (+ phi2 phi1) 2))) * * * * [misc]progress: [ 83 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ phi2 phi1) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ phi2 phi1) 2)) 3) * * * * [misc]progress: [ 84 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (+ phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ phi2 phi1) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ phi2 phi1) 2))) * [enter]simplify: Simplifying (sqrt (cos (/ (+ phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ phi2 phi1) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ phi2 phi1) 2))) * * * * [misc]progress: [ 85 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (+ phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (cos (/ (+ phi2 phi1) 2))) * [exit]simplify: Simplified to (log (cos (/ (+ phi2 phi1) 2))) * * * * [misc]progress: [ 88 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (+ phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (cos (/ (+ phi2 phi1) 2))) * [exit]simplify: Simplified to (exp (cos (/ (+ phi2 phi1) 2))) * * * * [misc]progress: [ 89 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (+ phi1 phi2) 2))) (cbrt (cos (/ (+ phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ phi2 phi1) 2))) (cbrt (cos (/ (+ phi2 phi1) 2)))) * [enter]simplify: Simplifying (cbrt (cos (/ (+ phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ (+ phi2 phi1) 2))) * [exit]simplify: Simplified to (cbrt (cos (/ (+ phi2 phi1) 2))) * * * * [misc]progress: [ 90 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ phi2 phi1) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ phi2 phi1) 2)) 3) * * * * [misc]progress: [ 91 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (+ phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ phi2 phi1) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ phi2 phi1) 2))) * [enter]simplify: Simplifying (sqrt (cos (/ (+ phi1 phi2) 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ phi2 phi1) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ phi2 phi1) 2))) * * * * [misc]progress: [ 92 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 94 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 95 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 96 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 97 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * * * * [misc]progress: [ 98 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * * * * [misc]progress: [ 99 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * * * * [misc]progress: [ 100 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * * * * [misc]progress: [ 101 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 103 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 104 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* 2 (+ (log (cos (/ (+ phi1 phi2) 2))) (log (- lambda1 lambda2)))) * [exit]simplify: Simplified to (* 2 (+ (log (cos (/ (+ phi1 phi2) 2))) (log (- lambda1 lambda2)))) * * * * [misc]progress: [ 106 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (+ (log (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (log (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) * [exit]simplify: Simplified to (+ (log (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (log (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) * * * * [misc]progress: [ 107 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (log (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) 2) * [exit]simplify: Simplified to (* (log (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) 2) * * * * [misc]progress: [ 108 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (log (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) 2) * [exit]simplify: Simplified to (* (log (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) 2) * * * * [misc]progress: [ 109 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (+ (log (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (log (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) * [exit]simplify: Simplified to (+ (log (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) (log (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) * * * * [misc]progress: [ 110 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (pow (pow (exp (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * [exit]simplify: Simplified to (pow (pow (exp (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * * * * [misc]progress: [ 111 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (* (* (* (cos (/ (+ phi2 phi1) 2)) (pow (- lambda1 lambda2) 3)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (pow (- lambda1 lambda2) 3)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) * [exit]simplify: Simplified to (* (* (* (cos (/ (+ phi2 phi1) 2)) (pow (- lambda1 lambda2) 3)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (pow (- lambda1 lambda2) 3)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) * * * * [misc]progress: [ 112 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ (+ 1 (+ 1 3)) 1)) * [exit]simplify: Simplified to (pow (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (+ (+ 1 (+ 1 3)) 1)) * * * * [misc]progress: [ 113 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (* (pow (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) 3) (pow (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) 3)) * [exit]simplify: Simplified to (* (pow (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) 3) (pow (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) 3)) * * * * [misc]progress: [ 114 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (pow (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ (+ (+ 1 3) 1) 1)) * [exit]simplify: Simplified to (pow (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (+ (+ (+ 1 3) 1) 1)) * * * * [misc]progress: [ 115 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (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)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) * [exit]simplify: Simplified to (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) * [enter]simplify: Simplifying (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) * [exit]simplify: Simplified to (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) * * * * [misc]progress: [ 116 / 141 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (pow (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) 3) * [exit]simplify: Simplified to (pow (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) 3) * * * * [misc]progress: [ 117 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (fabs (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * [exit]simplify: Simplified to (fabs (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * [enter]simplify: Simplifying (sqrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (fabs (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * [exit]simplify: Simplified to (fabs (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * * * * [misc]progress: [ 118 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) * [enter]simplify: Simplifying (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) * [exit]simplify: Simplified to (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) * * * * [misc]progress: [ 119 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (405 enodes) * [exit]simplify: Simplified to (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) * [exit]simplify: Simplified to (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) * [enter]simplify: Simplifying (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) * [exit]simplify: Simplified to (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) * * * * [misc]progress: [ 120 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) * [exit]simplify: Simplified to (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) * [enter]simplify: Simplifying (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) * [exit]simplify: Simplified to (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) * * * * [misc]progress: [ 121 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (409 enodes) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) * [enter]simplify: Simplifying (* (+ lambda1 lambda2) (+ lambda1 lambda2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (+ lambda2 lambda1) (+ lambda2 lambda1)) * [exit]simplify: Simplified to (* (+ lambda2 lambda1) (+ lambda2 lambda1)) * * * * [misc]progress: [ 122 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) * [exit]simplify: Simplified to (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) * * * * [misc]progress: [ 124 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (- lambda1 lambda2)) * * * * [misc]progress: [ 125 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * [exit]simplify: Simplified to (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * * * * [misc]progress: [ 126 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))) * * * * [misc]progress: [ 127 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) * [exit]simplify: Simplified to (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) * * * * [misc]progress: [ 128 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) * [exit]simplify: Simplified to (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) * * * * [misc]progress: [ 129 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 130 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (- phi2 phi1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (- phi2 phi1) R) * * * * [misc]progress: [ 131 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (- (+ (/ (* phi1 (* phi2 lambda2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (* (cos (* 1/2 (+ phi1 phi2))) lambda2) (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (* (+ (/ (* phi2 (/ phi1 lambda1)) (cos (* (+ phi1 phi2) 1/2))) (+ (/ (/ (* (* lambda2 phi1) phi2) (* lambda1 lambda1)) (cos (* (+ phi1 phi2) 1/2))) (* (cos (* (+ phi1 phi2) 1/2)) lambda2))) (- R)) * * * * [misc]progress: [ 132 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (+ (/ (* phi1 (* phi2 lambda2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (* (cos (* 1/2 (+ phi1 phi2))) lambda2) (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (* (+ (/ (* phi2 (/ phi1 lambda1)) (cos (* (+ phi1 phi2) 1/2))) (+ (/ (* (* phi2 (/ phi1 lambda1)) (/ lambda2 lambda1)) (cos (* (+ phi1 phi2) 1/2))) (* (cos (* (+ phi1 phi2) 1/2)) lambda2))) R) * * * * [misc]progress: [ 133 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- 1 (+ (* 1/8 (pow phi1 2)) (* 1/4 (* phi1 phi2)))))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* R (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (- 1 (* phi1 (+ (* 1/4 phi2) (* phi1 1/8)))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) * * * * [misc]progress: [ 134 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2))))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* R (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (* 1/2 (+ phi1 phi2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * * * [misc]progress: [ 135 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2))))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* R (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (* 1/2 (+ phi1 phi2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * * * [misc]progress: [ 136 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (sqrt (+ (* (* (- lambda1 lambda2) (- 1 (+ (* 1/8 (pow phi1 2)) (* 1/4 (* phi1 phi2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* R (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (- 1 (* (+ (* phi2 1/4) (* phi1 1/8)) phi1)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) * * * * [misc]progress: [ 137 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* R (sqrt (+ (* (* (cos (* (+ phi2 phi1) 1/2)) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- phi1 phi2) (- phi1 phi2))))) * * * * [misc]progress: [ 138 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* R (sqrt (+ (* (* (cos (* (+ phi2 phi1) 1/2)) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (- phi1 phi2) (- phi1 phi2))))) * * * * [misc]progress: [ 139 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (sqrt (+ (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (- lambda2 lambda1) (- lambda2 lambda1)))) R) * * * * [misc]progress: [ 140 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (sqrt (+ (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (* R (sqrt (+ (* (* (cos (* 1/2 (+ phi2 phi1))) (- lambda1 lambda2)) (* (cos (* 1/2 (+ phi2 phi1))) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2))))) * * * * [misc]progress: [ 141 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* R (sqrt (+ (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- phi1 phi2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (* R (sqrt (+ (* (* (cos (* 1/2 (+ phi2 phi1))) (- lambda1 lambda2)) (* (cos (* 1/2 (+ phi2 phi1))) (- lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (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)))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (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)))) in phi2 * [misc]taylor: Taking taylor expansion of (+ (* (* (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))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (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)))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (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)))))) in phi2 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3)) into (pow (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) 1/3) * [misc]backup-simplify: Simplify (* (pow (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) 1/3) (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3)) into (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) (pow phi1 2)) into (- (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda2 2)) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (pow phi1 2))) (* 2 (* (pow (cos (* 1/2 phi1)) 2) (* lambda1 lambda2)))) * [misc]backup-simplify: Simplify (sqrt (- (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda2 2)) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (pow phi1 2))) (* 2 (* (pow (cos (* 1/2 phi1)) 2) (* lambda1 lambda2))))) into (sqrt (- (+ (pow phi1 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* (pow (cos (* 1/2 phi1)) 2) (* lambda1 lambda2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1))))) * [misc]backup-simplify: Simplify (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1)))))) (* (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))) into (- (* 2 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (+ (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2))) (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (+ (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2))) (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1))))))) 1)) (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1)))) 1) into (- (* 2 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 2 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (* 0 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))) into (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) 1) 1)))) into (* (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1))))) * [misc]backup-simplify: Simplify (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1)))))) (* (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))) into (- (* 2 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (+ (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2))) (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (+ (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2))) (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1))))))) 1)) (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1)))) 1) into (- (* 2 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 2 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (* 0 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))) into (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) 1) 1)))) into (* (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi1) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi1))))) (* 0 (cos (* 1/2 phi1)))) into (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1))))) * [misc]backup-simplify: Simplify (+ (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1)))))) (* (- (* 1/2 (* (sin (* 1/2 phi1)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi1))))) (* (cos (* 1/2 phi1)) (- lambda1 lambda2)))) into (- (* 2 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (+ (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2))) (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (+ (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2))) (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1))))))) 1)) (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1)))) 1) into (- (* 2 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 2 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))) (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) (* 0 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))) into (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))) 1) 1)))) into (* (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) * [misc]backup-simplify: Simplify (+ (* (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (* (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))))) (* (* (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2))))))) (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3))) into (- (* 4/3 (* (pow (/ (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)) 1/3) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (+ (* 2/3 (* (pow (/ (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi1)) (pow lambda2 2)))) (* 2/3 (* (pow (/ (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)) 1/3) (* (pow lambda1 2) (sin (* 1/2 phi1))))))) * [misc]backup-simplify: Simplify (+ (* (pow (* (pow (cos (* 1/2 phi1)) 4) (pow (- lambda1 lambda2) 4)) 1/3) (* (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3) (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi1)) lambda2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi1))) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))) (* 1/3 (/ (* (sin (* 1/2 phi1)) (pow lambda2 2)) (* (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)))))))) (* (- (* 4/3 (* (pow (/ (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)) 1/3) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (+ (* 2/3 (* (pow (/ (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi1)) (pow lambda2 2)))) (* 2/3 (* (pow (/ (cos (* 1/2 phi1)) (pow (- lambda1 lambda2) 2)) 1/3) (* (pow lambda1 2) (sin (* 1/2 phi1))))))) (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3))) into (- (+ (* 4/3 (/ (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) (pow lambda2 3)))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (* 4/3 (/ (* (cos (* 1/2 phi1)) (* (pow lambda1 3) (* (sin (* 1/2 phi1)) lambda2))) (pow (- lambda1 lambda2) 2))))) (+ (* 1/3 (/ (* (cos (* 1/2 phi1)) (* (pow lambda1 4) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2 (/ (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (* (sin (* 1/2 phi1)) (pow lambda2 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1))))) (* 2/3 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2))))))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* phi1 -1) (* -1 phi1)) into (- (* 2 phi1)) * [misc]backup-simplify: Simplify (+ (- (+ (* 4/3 (/ (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) (pow lambda2 3)))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (* 4/3 (/ (* (cos (* 1/2 phi1)) (* (pow lambda1 3) (* (sin (* 1/2 phi1)) lambda2))) (pow (- lambda1 lambda2) 2))))) (+ (* 1/3 (/ (* (cos (* 1/2 phi1)) (* (pow lambda1 4) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2 (/ (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (* (sin (* 1/2 phi1)) (pow lambda2 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1))))) (* 2/3 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2))))))))) (- (* 2 phi1))) into (- (+ (* 4/3 (/ (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) (pow lambda2 3)))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (* 4/3 (/ (* (cos (* 1/2 phi1)) (* (pow lambda1 3) (* (sin (* 1/2 phi1)) lambda2))) (pow (- lambda1 lambda2) 2))))) (+ (* 1/3 (/ (* (cos (* 1/2 phi1)) (* (pow lambda1 4) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2 phi1) (+ (* 2 (/ (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (* (sin (* 1/2 phi1)) (pow lambda2 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1))))) (* 2/3 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2)))))))))) * [misc]backup-simplify: Simplify (/ (- (+ (* 4/3 (/ (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) (pow lambda2 3)))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (* 4/3 (/ (* (cos (* 1/2 phi1)) (* (pow lambda1 3) (* (sin (* 1/2 phi1)) lambda2))) (pow (- lambda1 lambda2) 2))))) (+ (* 1/3 (/ (* (cos (* 1/2 phi1)) (* (pow lambda1 4) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2 phi1) (+ (* 2 (/ (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (* (sin (* 1/2 phi1)) (pow lambda2 2)))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1))))) (* 2/3 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2)))))))))) (* 2 (sqrt (- (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda2 2)) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (pow phi1 2))) (* 2 (* (pow (cos (* 1/2 phi1)) 2) (* lambda1 lambda2))))))) into (* 1/2 (* (- (+ (* 4/3 (/ (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) (pow lambda2 3)))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi1)) (* lambda1 (* (sin (* 1/2 phi1)) lambda2)))) (* 4/3 (/ (* (cos (* 1/2 phi1)) (* (pow lambda1 3) (* (sin (* 1/2 phi1)) lambda2))) (pow (- lambda1 lambda2) 2))))) (+ (* 1/3 (/ (* (cos (* 1/2 phi1)) (* (pow lambda1 4) (sin (* 1/2 phi1)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2 phi1) (+ (* 2/3 (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (sin (* 1/2 phi1))))) (+ (* 2 (/ (* (cos (* 1/2 phi1)) (* (pow lambda1 2) (* (sin (* 1/2 phi1)) (pow lambda2 2)))) (pow (- lambda1 lambda2) 2))) (* 2/3 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) (pow lambda2 2)))))))))) (sqrt (/ 1 (- (+ (pow phi1 2) (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda2 2)) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* (pow (cos (* 1/2 phi1)) 2) (* lambda1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (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)))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (* (* (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))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (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)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (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)))))) in phi1 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (- lambda1 lambda2) (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (- lambda1 lambda2) (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (- lambda1 lambda2) (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (- lambda1 lambda2) (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (- lambda1 lambda2) (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (- lambda1 lambda2) (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3)) into (pow (* (pow (- lambda1 lambda2) 4) (pow (cos (* 1/2 phi2)) 4)) 1/3) * [misc]backup-simplify: Simplify (* (pow (* (pow (- lambda1 lambda2) 4) (pow (cos (* 1/2 phi2)) 4)) 1/3) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3)) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ 0 (- phi2)) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ 0 (- phi2)) into (- phi2) * [misc]backup-simplify: Simplify (* (- phi2) (- phi2)) into (pow phi2 2) * [misc]backup-simplify: Simplify (+ (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) (pow phi2 2)) into (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda1 lambda2)))) * [misc]backup-simplify: Simplify (sqrt (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda1 lambda2))))) into (sqrt (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (pow phi2 2))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda1 lambda2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2))))) * [misc]backup-simplify: Simplify (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2)))))) (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2))))) (* (- lambda1 lambda2) (cos (* 1/2 phi2))))) into (- (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2))) (* (cos (* 1/2 phi2)) (* lambda1 (* (sin (* 1/2 phi2)) lambda2)))) (+ (* (cos (* 1/2 phi2)) (* (pow lambda1 2) (sin (* 1/2 phi2)))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2))) (* (cos (* 1/2 phi2)) (* lambda1 (* (sin (* 1/2 phi2)) lambda2)))) (+ (* (cos (* 1/2 phi2)) (* (pow lambda1 2) (sin (* 1/2 phi2)))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 1)) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1)))) 1) into (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda1 lambda2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2)))) (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda1 lambda2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2)))) (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))))) (* 0 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))))) into (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi2)) lambda2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi2))) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi2)) lambda2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi2))) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) 1) 1)))) into (* (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3) (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi2)) lambda2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi2))) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2))))) * [misc]backup-simplify: Simplify (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2)))))) (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2))))) (* (- lambda1 lambda2) (cos (* 1/2 phi2))))) into (- (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2))) (* (cos (* 1/2 phi2)) (* lambda1 (* (sin (* 1/2 phi2)) lambda2)))) (+ (* (cos (* 1/2 phi2)) (* (pow lambda1 2) (sin (* 1/2 phi2)))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2))) (* (cos (* 1/2 phi2)) (* lambda1 (* (sin (* 1/2 phi2)) lambda2)))) (+ (* (cos (* 1/2 phi2)) (* (pow lambda1 2) (sin (* 1/2 phi2)))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 1)) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1)))) 1) into (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda1 lambda2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2)))) (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda1 lambda2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2)))) (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))))) (* 0 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))))) into (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi2)) lambda2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi2))) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi2)) lambda2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi2))) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) 1) 1)))) into (* (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3) (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi2)) lambda2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi2))) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 phi2) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda1 lambda2) (- (* 1/2 (sin (* 1/2 phi2))))) (* 0 (cos (* 1/2 phi2)))) into (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2))))) * [misc]backup-simplify: Simplify (+ (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2)))))) (* (- (* 1/2 (* (sin (* 1/2 phi2)) lambda2)) (* 1/2 (* lambda1 (sin (* 1/2 phi2))))) (* (- lambda1 lambda2) (cos (* 1/2 phi2))))) into (- (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2))) (* (cos (* 1/2 phi2)) (* lambda1 (* (sin (* 1/2 phi2)) lambda2)))) (+ (* (cos (* 1/2 phi2)) (* (pow lambda1 2) (sin (* 1/2 phi2)))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2))) (* (cos (* 1/2 phi2)) (* lambda1 (* (sin (* 1/2 phi2)) lambda2)))) (+ (* (cos (* 1/2 phi2)) (* (pow lambda1 2) (sin (* 1/2 phi2)))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 1)) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1)))) 1) into (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda1 lambda2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2)))) (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (- (* 2 (/ (* (sin (* 1/2 phi2)) (* lambda1 lambda2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (+ (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2)))) (/ (* (sin (* 1/2 phi2)) (pow lambda1 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))))) (* 0 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))))) into (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi2)) lambda2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi2))) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))))) (+ (* (/ (pow (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi2)) lambda2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi2))) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))) 1) 1)))) into (* (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3) (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi2)) lambda2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi2))) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) * [misc]backup-simplify: Simplify (+ (* (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3) (* (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3) (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi2)) lambda2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi2))) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))) (* (* (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3) (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi2)) lambda2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi2))) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2))))))) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3))) into (- (* 4/3 (* (* (sin (* 1/2 phi2)) (* lambda1 lambda2)) (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3))) (+ (* 2/3 (* (* (sin (* 1/2 phi2)) (pow lambda1 2)) (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3))) (* 2/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) * [misc]backup-simplify: Simplify (+ (* (pow (* (pow (- lambda1 lambda2) 4) (pow (cos (* 1/2 phi2)) 4)) 1/3) (* (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3) (- (* 2/3 (/ (* lambda1 (* (sin (* 1/2 phi2)) lambda2)) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))) (+ (* 1/3 (/ (* (sin (* 1/2 phi2)) (pow lambda2 2)) (* (pow (- lambda1 lambda2) 2) (cos (* 1/2 phi2))))) (* 1/3 (/ (* (pow lambda1 2) (sin (* 1/2 phi2))) (* (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)))))))) (* (- (* 4/3 (* (* (sin (* 1/2 phi2)) (* lambda1 lambda2)) (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3))) (+ (* 2/3 (* (* (sin (* 1/2 phi2)) (pow lambda1 2)) (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3))) (* 2/3 (* (pow (/ (cos (* 1/2 phi2)) (pow (- lambda1 lambda2) 2)) 1/3) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3))) into (- (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 (pow lambda2 3)))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))) (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (pow lambda1 3) (* (sin (* 1/2 phi2)) lambda2))) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (cos (* 1/2 phi2)) (* lambda1 (* (sin (* 1/2 phi2)) (pow lambda2 3)))) (pow (- lambda1 lambda2) 2)))))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (pow lambda1 4) (sin (* 1/2 phi2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (+ (* 5/3 (/ (* (cos (* 1/2 phi2)) (* (pow lambda1 2) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (pow (- lambda1 lambda2) 2))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) (pow lambda2 2)))) (pow (- lambda1 lambda2) 2))))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- phi2) 1) (* 1 (- phi2))) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (+ (- (+ (* 2/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 (pow lambda2 3)))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))) (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (pow lambda1 3) (* (sin (* 1/2 phi2)) lambda2))) (pow (- lambda1 lambda2) 2))) (* 2/3 (/ (* (cos (* 1/2 phi2)) (* lambda1 (* (sin (* 1/2 phi2)) (pow lambda2 3)))) (pow (- lambda1 lambda2) 2)))))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (pow lambda1 4) (sin (* 1/2 phi2)))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (+ (* 5/3 (/ (* (cos (* 1/2 phi2)) (* (pow lambda1 2) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (pow (- lambda1 lambda2) 2))) (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) (pow lambda2 2)))) (pow (- lambda1 lambda2) 2))))))))) (- (* 2 phi2))) into (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 3) lambda2))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))) (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 (pow lambda2 3)))) (pow (- lambda1 lambda2) 2))))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 2 phi2) (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) (pow lambda2 2)))) (pow (- lambda1 lambda2) 2))))))))) * [misc]backup-simplify: Simplify (/ (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 3) lambda2))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))) (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 (pow lambda2 3)))) (pow (- lambda1 lambda2) 2))))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 2 phi2) (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) (pow lambda2 2)))) (pow (- lambda1 lambda2) 2))))))))) (* 2 (sqrt (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda1 lambda2))))))) into (* 1/2 (* (- (+ (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 3) lambda2))) (pow (- lambda1 lambda2) 2))) (+ (* 4/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 lambda2)))) (* 4/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda1 (pow lambda2 3)))) (pow (- lambda1 lambda2) 2))))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 4))) (pow (- lambda1 lambda2) 2))) (+ (* 1/3 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 4))) (pow (- lambda1 lambda2) 2))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (+ (* 2/3 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 2 phi2) (* 2 (/ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (pow lambda1 2) (pow lambda2 2)))) (pow (- lambda1 lambda2) 2))))))))) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (pow phi2 2))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda1 lambda2)))))))) * [misc]taylor: Taking taylor expansion of (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)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (* (* (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))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (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)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (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)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1) * [misc]backup-simplify: Simplify (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1) * [misc]backup-simplify: Simplify (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1) * [misc]backup-simplify: Simplify (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1/3) * [misc]taylor: Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1/3) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1/3)) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda1 4)) 1/3) * [misc]backup-simplify: Simplify (* (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda1 4)) 1/3) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1/3)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ phi1 (- phi2)) into (- phi1 phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ phi1 (- phi2)) into (- phi1 phi2) * [misc]backup-simplify: Simplify (* (- phi1 phi2) (- phi1 phi2)) into (pow (- phi1 phi2) 2) * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (pow (- phi1 phi2) 2)) into (- (+ (pow phi1 2) (+ (pow phi2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (sqrt (- (+ (pow phi1 2) (+ (pow phi2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi1 2) (+ (pow phi2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) (* 2 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (- (cos (* 1/2 (+ phi1 phi2))))) (* (- (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1)))) 1) into (/ -2 lambda1) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (- (* 2/3 (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 1/3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (- (cos (* 1/2 (+ phi1 phi2))))) (* (- (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1)))) 1) into (/ -2 lambda1) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (- (* 2/3 (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 1/3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* lambda1 0) (* -1 (cos (* 1/2 (+ phi1 phi2))))) into (- (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (- (cos (* 1/2 (+ phi1 phi2))))) (* (- (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1)))) 1) into (/ -2 lambda1) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (- (* 2/3 (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1/3) (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 1/3))) (* (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 1/3)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1/3))) into (- (* 4/3 (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) lambda1) 1/3))) * [misc]backup-simplify: Simplify (+ (* (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda1 4)) 1/3) (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 1/3))) (* (- (* 4/3 (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) lambda1) 1/3))) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1/3))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- phi1 phi2) 0) (* 0 (- phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 0) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (* 2 (sqrt (- (+ (pow phi1 2) (+ (pow phi2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) (sqrt (/ 1 (- (+ (pow phi1 2) (+ (pow phi2 2) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) (* 2 (* phi1 phi2))))))) * [misc]taylor: Taking taylor expansion of (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)))) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (* (* (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))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) * [misc]taylor: Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3)) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 4)) 1/3) * [misc]backup-simplify: Simplify (* (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 4)) 1/3) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ phi1 (- phi2)) into (- phi1 phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ phi1 (- phi2)) into (- phi1 phi2) * [misc]backup-simplify: Simplify (* (- phi1 phi2) (- phi1 phi2)) into (pow (- phi1 phi2) 2) * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (pow (- phi1 phi2) 2)) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))) (* (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3))) into (- (* 4/3 (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) lambda2) 1/3))) * [misc]backup-simplify: Simplify (+ (* (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 4)) 1/3) (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))) (* (- (* 4/3 (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) lambda2) 1/3))) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- phi1 phi2) 0) (* 0 (- phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) 0) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) (* 2 (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))))) * [misc]taylor: Taking taylor expansion of (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)))) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (* (* (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))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) * [misc]taylor: Taking taylor expansion of (* (- phi1 phi2) (- phi1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of (- phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3)) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 4)) 1/3) * [misc]backup-simplify: Simplify (* (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 4)) 1/3) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ phi1 (- phi2)) into (- phi1 phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (+ phi1 (- phi2)) into (- phi1 phi2) * [misc]backup-simplify: Simplify (* (- phi1 phi2) (- phi1 phi2)) into (pow (- phi1 phi2) 2) * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (pow (- phi1 phi2) 2)) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))) (* (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3))) into (- (* 4/3 (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) lambda2) 1/3))) * [misc]backup-simplify: Simplify (+ (* (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 4)) 1/3) (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))) (* (- (* 4/3 (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) lambda2) 1/3))) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- phi1 phi2) 0) (* 0 (- phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) 0) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) (* 2 (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))))) * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (+ 0 (+ (pow phi1 2) (pow phi2 2))) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (+ (+ (pow phi1 2) (pow phi2 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (sqrt (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (pow phi1 2) (pow phi2 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 (pow phi2 2)) into (pow phi2 2) * [misc]backup-simplify: Simplify (* 0 phi2) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) * [misc]backup-simplify: Simplify (sqrt (pow phi2 2)) into phi2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (/ (- (* 2 phi2)) (* 2 (sqrt (pow phi2 2)))) into -1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* -1 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (+ 0 (+ (pow phi1 2) (pow phi2 2))) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (+ (+ (pow phi1 2) (pow phi2 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) into 0 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) 0) (+ (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (* 0 (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) 2)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 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)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) 0) (+ (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (* 0 (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) 2)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 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)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) 0) (+ (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (* 0 (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) 2)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 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)) * [misc]backup-simplify: Simplify (+ (* (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3))) (+ (* (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))) (* (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3)))) into (* 2/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 4)) 1/3) (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3))) (+ (* (- (* 4/3 (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) lambda2) 1/3))) (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3))) (* (* 2/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 2)) 1/3)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- phi1 phi2) 0) (+ (* 0 0) (* 0 (- phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (* -1 (* (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 2) (+)) (* 2 (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 2)) (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 2)) (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))) (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 2)) (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (+ 0 (+ (pow phi1 2) (pow phi2 2))) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (+ (+ (pow phi1 2) (pow phi2 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) into 0 * [misc]taylor: Taking taylor expansion of (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 2)) (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (/ (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 2)) (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 4 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 4 in lambda2 * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 4 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 4 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 4 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) (+ (pow phi2 2) (pow phi1 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 4) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (+ 0 (+ (pow phi1 2) (pow phi2 2))) into (+ (pow phi1 2) (pow phi2 2)) * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (+ (+ (pow phi1 2) (pow phi2 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (pow phi1 2) (pow phi2 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 (pow phi2 2)) into (pow phi2 2) * [misc]backup-simplify: Simplify (* 0 phi2) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) * [misc]backup-simplify: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ phi1 phi2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) (* 0 0)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (+ (* -1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) (* 0 0)) into (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) * [misc]taylor: Taking taylor expansion of (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (pow phi1 2) (pow phi2 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 (pow phi2 2)) into (pow phi2 2) * [misc]backup-simplify: Simplify (* 0 phi2) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) * [misc]backup-simplify: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) * [misc]backup-simplify: Simplify (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) * [misc]taylor: Taking taylor expansion of (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi1 2) (pow phi2 2)) (* 2 (* phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (pow phi1 2) (pow phi2 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 (pow phi2 2)) into (pow phi2 2) * [misc]backup-simplify: Simplify (* 0 phi2) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) * [misc]backup-simplify: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 phi2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow -1 2) (+)) (* 2 phi2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* phi2 (* 1 (* 1 1)))) (* -1 (* 1 (* phi1 (* 1 1))))) into (- phi2 phi1) * [misc]approximate: Taking taylor expansion of (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))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (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))))) in phi2 * [misc]taylor: Taking taylor expansion of (+ (* (* (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)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (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)))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (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)))))) in phi2 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))))) into (pow (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))))) into (pow (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))))) into (pow (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) 0) into (/ 1 phi1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) 0) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 phi1)) (* (/ 1 phi1) -1)) into (- (* 2 (/ 1 phi1))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (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))))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (* (* (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)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (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)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (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)))))) in phi1 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))))) into (pow (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))))) into (pow (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))))) into (pow (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 phi2)) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 phi2))) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 phi2)) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 phi2))) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 phi2))) (* (- (/ 1 phi2)) 1)) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of (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))))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (* (* (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)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (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)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (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)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 2) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) * [misc]backup-simplify: Simplify (- (/ 1 phi2)) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (- (/ 1 phi2))) into (- (/ 1 phi1) (/ 1 phi2)) * [misc]backup-simplify: Simplify (- (/ 1 phi2)) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (- (/ 1 phi2))) into (- (/ 1 phi1) (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) into (pow (- (/ 1 phi1) (/ 1 phi2)) 2) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) (pow (- (/ 1 phi1) (/ 1 phi2)) 2)) into (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) into (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) (* (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1) (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda1) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (- (* 2/3 (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) lambda1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) (* (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1) (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda1) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (- (* 2/3 (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) lambda1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) 0) into (/ 1 lambda1) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda1) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) (* (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1) (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda1) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (- (* 2/3 (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) lambda1)) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) lambda1))) (* (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) lambda1)) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))))) into (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 2) lambda1))) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 2) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) lambda1))) (* (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 2) lambda1))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))))) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) lambda1))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 phi1) (/ 1 phi2)) 0) (* 0 (- (/ 1 phi1) (/ 1 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) lambda1))) 0) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) lambda1))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) lambda1))) (* 2 (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (* -1 (* (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) lambda1))) * [misc]taylor: Taking taylor expansion of (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))))) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (* (* (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)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) * [misc]backup-simplify: Simplify (- (/ 1 phi2)) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (- (/ 1 phi2))) into (- (/ 1 phi1) (/ 1 phi2)) * [misc]backup-simplify: Simplify (- (/ 1 phi2)) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (- (/ 1 phi2))) into (- (/ 1 phi1) (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) into (pow (- (/ 1 phi1) (/ 1 phi2)) 2) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow (- (/ 1 phi1) (/ 1 phi2)) 2)) into (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) into (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) lambda2))) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) lambda2))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 phi1) (/ 1 phi2)) 0) (* 0 (- (/ 1 phi1) (/ 1 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) 0) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) (* 2 (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (* -1 (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (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))))) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (* (* (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)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) * [misc]backup-simplify: Simplify (- (/ 1 phi2)) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (- (/ 1 phi2))) into (- (/ 1 phi1) (/ 1 phi2)) * [misc]backup-simplify: Simplify (- (/ 1 phi2)) into (- (/ 1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (- (/ 1 phi2))) into (- (/ 1 phi1) (/ 1 phi2)) * [misc]backup-simplify: Simplify (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))) into (pow (- (/ 1 phi1) (/ 1 phi2)) 2) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow (- (/ 1 phi1) (/ 1 phi2)) 2)) into (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) into (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) lambda2))) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) lambda2))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 phi1) (/ 1 phi2)) 0) (* 0 (- (/ 1 phi1) (/ 1 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) 0) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) (* 2 (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (* -1 (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) into (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (sqrt (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) into (sqrt (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi1 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi1 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) * [misc]backup-simplify: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 1 in phi2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* -1 (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) 1) into (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) into (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) into (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) into (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) 0) (* 0 (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (* (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ -1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 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 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 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 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 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 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))) (+ (* (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into (* 2/9 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (pow lambda2 2))) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))) (+ (* (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) lambda2))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (* 2/9 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (pow lambda2 2))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 phi1) (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (- (/ 1 phi1) (/ 1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) 0) into (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) * [misc]backup-simplify: Simplify (/ (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) (pow (* -1 (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) 2) (+)) (* 2 (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow lambda2 2)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow lambda2 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow lambda2 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) into (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) into (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) into (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]taylor: Taking taylor expansion of (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow lambda2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]backup-simplify: Simplify (/ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) 1) into (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow lambda2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 6 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 6 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 6 in lambda2 * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 6 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) into (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (* (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 1) into (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) into (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (+ (* (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (+ (* (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) into (- (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (- (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (- (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) 0) (+ (* 0 0) (* 0 (- (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) 0) (* 0 (- (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (- (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (* (- (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (- (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2)) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 1 (pow phi2 2))) into (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 phi2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 1 (pow phi2 2))) 0) into (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (/ (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 1 (pow phi2 2))) (pow (/ -1 phi2) 2) (+)) (* 2 1)) into (* 1/2 (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi2 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) 0) (+ (* 0 (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 3)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1) (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into (/ -2/3 (pow lambda2 3)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2/3 (pow lambda2 3))) (+ (* 0 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into (- (* 2/9 (/ 1 (pow lambda2 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 3) 6)) (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)) (* (/ (pow (- (* 2/9 (/ 1 (pow lambda2 3)))) 1) 1)))) into (* -4/81 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 3))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) 0) (+ (* 0 (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 3)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1) (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into (/ -2/3 (pow lambda2 3)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2/3 (pow lambda2 3))) (+ (* 0 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into (- (* 2/9 (/ 1 (pow lambda2 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 3) 6)) (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)) (* (/ (pow (- (* 2/9 (/ 1 (pow lambda2 3)))) 1) 1)))) into (* -4/81 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 3))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) 0) (+ (* 0 (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 3)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1) (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into (/ -2/3 (pow lambda2 3)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2/3 (pow lambda2 3))) (+ (* 0 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into (- (* 2/9 (/ 1 (pow lambda2 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 3) 6)) (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)) (* (/ (pow (- (* 2/9 (/ 1 (pow lambda2 3)))) 1) 1)))) into (* -4/81 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 3))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (* -4/81 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 3)))) (+ (* (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))) (+ (* (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (* -4/81 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 3))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))))) into (* 4/81 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (pow lambda2 3))) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (* -4/81 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 3)))) (+ (* (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) lambda2))) (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))) (+ (* (* 2/9 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (pow lambda2 2))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (* 4/81 (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (pow lambda2 3))) (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 phi1) (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (/ 1 phi1) (/ 1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* -1 (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) (* 1/2 (* (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow lambda2 2)))))))))) (* 2 (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (* 1/2 (* (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow lambda2 3))) (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 9) (* (pow (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2) (pow lambda2 3)))) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow lambda2 3))) (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 9) (* (pow (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2) (pow lambda2 3)))) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow lambda2 3))) (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 9) (* (pow (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2) (pow lambda2 3)))) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow lambda2 3))) (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 9) (* (pow (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2) (pow lambda2 3)))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow lambda2 3))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 6 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 6 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 6 in lambda2 * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 6 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (* (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow lambda2 3)) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]taylor: Taking taylor expansion of (pow lambda2 3) in lambda2 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) into (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (* (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 1) into (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) into (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 9) (* (pow (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2) (pow lambda2 3))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 9) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 9 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 9 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 9 in lambda2 * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 9 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (* (pow (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2) (pow lambda2 3)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) into (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (log (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) into (log (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (* 2 (log (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) into (* 2 (log (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 3) in lambda2 * [misc]backup-simplify: Simplify (* (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2) 1) into (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2) * [misc]backup-simplify: Simplify (/ (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2)) into (/ (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) into (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) into (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) into (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))) into (- (/ (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))) * [misc]backup-simplify: Simplify (+ (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (- (/ (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2)))) into (- (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (+ (* (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2)) (+ (* (/ (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2)) (/ 0 (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (+ (* (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2)) (+ (* (/ (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2)) (/ 0 (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))) (* 0 (/ 0 (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (+ (* (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2)) (+ (* (/ (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2)) (/ 0 (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))) (* 0 (/ 0 (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))) (* 0 (/ 0 (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))) 0) (* 0 (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (* (- (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))) (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (* (- (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))) (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (- (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ (exp (* 3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))) (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (+ (* (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (- (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (+ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ -1 phi2) (* 1/2 (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))))) (* 2 1)) into (* 1/2 (/ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) phi2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) phi2)) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) phi2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi2 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) 1) into (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 1/2 (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (* 1/2 (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (* 1/2 (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (* 1/2 (exp (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (exp (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi2)) (/ 1 (/ 1 phi1))))) 2)) (* 2 (log (/ 1 lambda1)))))) (* (/ 1 (/ 1 phi2)) (* (pow (/ 1 phi1) 2) (* 1 1)))) (+ (* 1 (* 1 (* (/ 1 (/ 1 phi1)) (* 1 1)))) (* -1 (* (/ 1 (/ 1 phi2)) (* 1 (* 1 1)))))) into (- (+ phi1 (* 1/2 (/ (* (exp (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1))))) phi2) (pow phi1 2)))) phi2) * [misc]approximate: Taking taylor expansion of (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)))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (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)))))) in phi2 * [misc]taylor: Taking taylor expansion of (+ (* (* (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))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (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)))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (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)))))) in phi2 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) 0) into (- (/ 1 phi1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) 0) into (- (/ 1 phi1)) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 phi1))) (* (- (/ 1 phi1)) 1)) into (- (* 2 (/ 1 phi1))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (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)))))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (* (* (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))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (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)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (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)))))) in phi1 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 phi2)) (* (/ 1 phi2) -1)) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of (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)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (* (* (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))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (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)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (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)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 2) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) * [misc]backup-simplify: Simplify (- (/ -1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ 1 phi2)) into (- (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (- (/ -1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ 1 phi2)) into (- (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (- (/ 1 phi2) (/ 1 phi1)) (- (/ 1 phi2) (/ 1 phi1))) into (pow (- (/ 1 phi2) (/ 1 phi1)) 2) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) (pow (- (/ 1 phi2) (/ 1 phi1)) 2)) into (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) into (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1))) (* (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda1) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (- (* 2/3 (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) lambda1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1))) (* (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda1) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (- (* 2/3 (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) lambda1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) 0) into (- (/ 1 lambda1)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1))) (* (- (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda1)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda1) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda1)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (- (* 2/3 (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda1))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) lambda1)) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) lambda1))) (* (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) lambda1)) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))))) into (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 2) lambda1))) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 2) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) lambda1))) (* (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 2) lambda1))) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))))) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) lambda1))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 phi2) (/ 1 phi1)) 0) (* 0 (- (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) lambda1))) 0) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) lambda1))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) lambda1))) (* 2 (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (* -1 (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) lambda1) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (* (* (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))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) * [misc]backup-simplify: Simplify (- (/ -1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ 1 phi2)) into (- (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (- (/ -1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ 1 phi2)) into (- (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (- (/ 1 phi2) (/ 1 phi1)) (- (/ 1 phi2) (/ 1 phi1))) into (pow (- (/ 1 phi2) (/ 1 phi1)) 2) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow (- (/ 1 phi2) (/ 1 phi1)) 2)) into (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) into (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) lambda2))) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) lambda2))) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 phi2) (/ 1 phi1)) 0) (* 0 (- (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) 0) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) (* 2 (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (* -1 (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (* (* (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))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (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)))))) in lambda1 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) * [misc]backup-simplify: Simplify (- (/ -1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ 1 phi2)) into (- (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (- (/ -1 phi2)) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ 1 phi2)) into (- (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* (- (/ 1 phi2) (/ 1 phi1)) (- (/ 1 phi2) (/ 1 phi1))) into (pow (- (/ 1 phi2) (/ 1 phi1)) 2) * [misc]backup-simplify: Simplify (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow (- (/ 1 phi2) (/ 1 phi1)) 2)) into (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) into (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) lambda2))) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) lambda2))) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 phi2) (/ 1 phi1)) 0) (* 0 (- (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) 0) into (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2))) (* 2 (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (* -1 (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) into (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (sqrt (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) into (sqrt (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi1 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi1 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) * [misc]backup-simplify: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 1 in phi2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* -1 (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of -1 in lambda2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) 1) into (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) into (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) into (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) into (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) 0) (* 0 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))) into (* (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ -1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of -1 in phi2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 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 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 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 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 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 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))) (+ (* (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into (* 2/9 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (pow lambda2 2))) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))) (+ (* (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) lambda2))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (* 2/9 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (pow lambda2 2))) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 phi2) (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (- (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) 0) into (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) * [misc]backup-simplify: Simplify (/ (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) (pow (* -1 (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) 2) (+)) (* 2 (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (* 1/2 (* (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (pow lambda2 2) (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (pow lambda2 2) (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (pow lambda2 2) (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (pow lambda2 2) (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]backup-simplify: Simplify (/ (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) 1) into (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (pow lambda2 2) (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 6 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 6 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 6 in lambda2 * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 6 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) into (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (* 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) into (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) into (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) into (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) into (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) into (- (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (- (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))) into (- (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (+ (* (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (+ (* (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) 0) (* 0 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (* (- (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))) into (* (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (- (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (- (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 phi2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 0) into (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (/ -1 phi2) 2) (+)) (* 2 1)) into (* 1/2 (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi2 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) 0) (+ (* 0 (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 3)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1) (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into (/ -2/3 (pow lambda2 3)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2/3 (pow lambda2 3))) (+ (* 0 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into (- (* 2/9 (/ 1 (pow lambda2 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 3) 6)) (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)) (* (/ (pow (- (* 2/9 (/ 1 (pow lambda2 3)))) 1) 1)))) into (* -4/81 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 3))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) 0) (+ (* 0 (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 3)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1) (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into (/ -2/3 (pow lambda2 3)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2/3 (pow lambda2 3))) (+ (* 0 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into (- (* 2/9 (/ 1 (pow lambda2 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 3) 6)) (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)) (* (/ (pow (- (* 2/9 (/ 1 (pow lambda2 3)))) 1) 1)))) into (* -4/81 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 3))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))) (* 0 (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) 0) (+ (* 0 (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 3)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1) (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into (/ -2/3 (pow lambda2 3)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2/3 (pow lambda2 3))) (+ (* 0 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into (- (* 2/9 (/ 1 (pow lambda2 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 3) 6)) (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)) (* (/ (pow (- (* 2/9 (/ 1 (pow lambda2 3)))) 1) 1)))) into (* -4/81 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 3))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (* -4/81 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 3)))) (+ (* (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))) (+ (* (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (* -4/81 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 3))) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))))) into (* 4/81 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (pow lambda2 3))) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (* -4/81 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 3)))) (+ (* (- (* 4/3 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) lambda2))) (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)))) (+ (* (* 2/9 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (pow lambda2 2))) (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2))) (* (* 4/81 (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2) (pow lambda2 3))) (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 phi2) (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* -1 (* (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) lambda2) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) (* 1/2 (* (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (pow lambda2 2)) (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (pow lambda2 2) (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))))))) (* 2 (sqrt (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) into (* 1/2 (* (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (pow lambda2 3) (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 9) (* (pow lambda2 3) (pow (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2)))) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (pow lambda2 3) (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 9) (* (pow lambda2 3) (pow (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2)))) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (pow lambda2 3) (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 9) (* (pow lambda2 3) (pow (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2)))) (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (pow lambda2 3) (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 9) (* (pow lambda2 3) (pow (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) (* (pow lambda2 3) (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 6) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 6 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 6 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 6 in lambda2 * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 6 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (* (pow lambda2 3) (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow lambda2 3) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) into (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (* 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) into (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]taylor: Taking taylor expansion of (/ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 9) (* (pow lambda2 3) (pow (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 9) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 9 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 9 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 9 in lambda2 * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 9 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (* (pow lambda2 3) (pow (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow lambda2 3) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) into (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (log (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) into (log (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (* 2 (log (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) into (* 2 (log (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))) into (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2) * [misc]backup-simplify: Simplify (* 1 (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2)) into (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2) * [misc]backup-simplify: Simplify (/ (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2)) into (/ (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 3 (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of 3 in lambda2 * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (log phi1) into (log phi1) * [misc]backup-simplify: Simplify (* 2 (log phi1)) into (* 2 (log phi1)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi1))) into (pow phi1 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (log phi2) into (log phi2) * [misc]backup-simplify: Simplify (* 2 (log phi2)) into (* 2 (log phi2)) * [misc]backup-simplify: Simplify (exp (* 2 (log phi2))) into (pow phi2 2) * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) * [misc]backup-simplify: Simplify (+ (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2)))) into (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) * [misc]backup-simplify: Simplify (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) into (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) into (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))) into (- (/ (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))) * [misc]backup-simplify: Simplify (+ (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (- (/ (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2)))) into (- (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (+ (* (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2)) (+ (* (/ (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2)) (/ 0 (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (+ (* (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow phi2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow phi2 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log phi2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2)) (+ (* (/ (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2)) (/ 0 (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))) (* 0 (/ 0 (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (+ (* (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2)) (+ (* (/ (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2)) (/ 0 (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))) (* 0 (/ 0 (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))) (* 0 (/ 0 (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))) 0) (* 0 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (* (- (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2))) (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))) into (* (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (- (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (- (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ (exp (* 3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))) 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (+ (* (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (- (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ (exp (* 2 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))) (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (* 0 (/ 0 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2)))))) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow lambda1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow lambda1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow lambda1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))) (* 0 (/ 0 (pow phi1 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow phi2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow phi2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow phi2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log phi2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))) (* 0 (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))) (* 0 (/ 0 (* phi1 phi2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (+ (/ 1 (pow phi1 2)) (+ (/ 1 (pow phi2 2)) (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) (* 2 (/ 1 (* phi1 phi2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow phi2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log phi2))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log phi2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 phi2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ -1 phi2) (* 1/2 (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))))) (* 2 1)) into (* 1/2 (/ (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) phi2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) phi2)) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) phi2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi2 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) 1) into (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (* 1/2 (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (* 1/2 (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (* 1/2 (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (* 1/2 (exp (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (exp (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi2))) (/ 1 (/ 1 (- phi1)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) (* (/ 1 (/ 1 (- phi2))) (* (pow (/ 1 (- phi1)) 2) (* 1 1)))) (+ (* 1 (* 1 (* (/ 1 (/ 1 (- phi1))) (* 1 1)))) (* -1 (* (/ 1 (/ 1 (- phi2))) (* 1 (* 1 1)))))) into (- phi2 (+ phi1 (* 1/2 (/ (* (exp (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1))))) phi2) (pow phi1 2))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (- lambda1 lambda2) (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (- lambda1 lambda2) (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1) * [misc]backup-simplify: Simplify (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (exp (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) * [misc]backup-simplify: Simplify (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 phi2)) 2))) into (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) * [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)))) * [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))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) * [misc]backup-simplify: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) * [misc]backup-simplify: Simplify (pow lambda2 2/3) into (pow lambda2 2/3) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) * [misc]taylor: Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]taylor: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) * [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)) * [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))) * [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)))) * [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))))) * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi1 * [misc]taylor: Taking taylor expansion of -2/3 in phi1 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (- (log lambda2)) into (- (log lambda2)) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) * [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))) * [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)))) * [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))))) * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) in phi2 * [misc]taylor: Taking taylor expansion of -2/3 in phi2 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (- (log lambda2)) into (- (log lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (log lambda2))) into (- (log lambda2)) * [misc]backup-simplify: Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3) * [misc]backup-simplify: Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) * [misc]backup-simplify: Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ phi1 phi2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (sin (* 1/2 phi2))))) 1)) (pow (cos (* 1/2 phi2)) 1)))) 1) into (* -1/2 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ (* 2 (* -1/2 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) (* 0 (log (cos (* 1/2 phi2))))) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 phi2))))) (+ (* (/ (pow (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 1) 1)))) into (* -1 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (* (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)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) * [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))))) * [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)))) * [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 * [misc]taylor: Taking taylor expansion of -1/3 in phi2 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 * [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 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) * [misc]backup-simplify: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 0 (pow lambda2 2/3)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2/3))) into (* 1/2 (pow (pow lambda2 2) 1/3)) * [misc]backup-simplify: Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) 0) (+ (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (* 0 (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) 2)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 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)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 4) in lambda2 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) * [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))) * [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)))) * [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))))) * [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)))))) * [misc]taylor: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi1 * [misc]taylor: Taking taylor expansion of -1/9 in phi1 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) * [misc]taylor: Taking taylor expansion of (* 4 (log lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of 4 in phi1 * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) * [misc]backup-simplify: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) * [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))) * [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)))) * [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))))) * [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)))))) * [misc]taylor: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) in phi2 * [misc]taylor: Taking taylor expansion of -1/9 in phi2 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* 4 (log lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of 4 in phi2 * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) * [misc]backup-simplify: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2)) * [misc]backup-simplify: Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3) * [misc]backup-simplify: Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) * [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 (* lambda1 (pow (/ 1 lambda2) 1/3))) (* 1/9 (* (pow lambda1 2) (pow (/ 1 (pow lambda2 4)) 1/3))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))))) into (pow (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))))) into (pow (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi1 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]taylor: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 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 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi2)) (/ 1 (/ 1 phi1))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi1 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]taylor: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 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 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi2))) (/ 1 (/ 1 (- phi1)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (- lambda1 lambda2) (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (- lambda1 lambda2) (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1) * [misc]backup-simplify: Simplify (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (exp (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) * [misc]backup-simplify: Simplify (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 phi2)) 2))) into (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) * [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)))) * [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))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) * [misc]backup-simplify: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) * [misc]backup-simplify: Simplify (pow lambda2 2/3) into (pow lambda2 2/3) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) * [misc]taylor: Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]taylor: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) * [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)) * [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))) * [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)))) * [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))))) * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi1 * [misc]taylor: Taking taylor expansion of -2/3 in phi1 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (- (log lambda2)) into (- (log lambda2)) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) * [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))) * [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)))) * [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))))) * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) in phi2 * [misc]taylor: Taking taylor expansion of -2/3 in phi2 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (- (log lambda2)) into (- (log lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (log lambda2))) into (- (log lambda2)) * [misc]backup-simplify: Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3) * [misc]backup-simplify: Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) * [misc]backup-simplify: Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ phi1 phi2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (sin (* 1/2 phi2))))) 1)) (pow (cos (* 1/2 phi2)) 1)))) 1) into (* -1/2 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ (* 2 (* -1/2 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) (* 0 (log (cos (* 1/2 phi2))))) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 phi2))))) (+ (* (/ (pow (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 1) 1)))) into (* -1 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (* (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)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) * [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))))) * [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)))) * [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 * [misc]taylor: Taking taylor expansion of -1/3 in phi2 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 * [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 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) * [misc]backup-simplify: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 0 (pow lambda2 2/3)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2/3))) into (* 1/2 (pow (pow lambda2 2) 1/3)) * [misc]backup-simplify: Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) 0) (+ (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (* 0 (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) 2)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 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)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 4) in lambda2 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) * [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))) * [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)))) * [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))))) * [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)))))) * [misc]taylor: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi1 * [misc]taylor: Taking taylor expansion of -1/9 in phi1 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) * [misc]taylor: Taking taylor expansion of (* 4 (log lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of 4 in phi1 * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) * [misc]backup-simplify: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) * [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))) * [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)))) * [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))))) * [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)))))) * [misc]taylor: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) in phi2 * [misc]taylor: Taking taylor expansion of -1/9 in phi2 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* 4 (log lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of 4 in phi2 * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) * [misc]backup-simplify: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2)) * [misc]backup-simplify: Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3) * [misc]backup-simplify: Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) * [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 (* lambda1 (pow (/ 1 lambda2) 1/3))) (* 1/9 (* (pow lambda1 2) (pow (/ 1 (pow lambda2 4)) 1/3))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))))) into (pow (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))))) into (pow (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi1 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]taylor: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 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 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi2)) (/ 1 (/ 1 phi1))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi1 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]taylor: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 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 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi2))) (/ 1 (/ 1 (- phi1)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 * [misc]backup-simplify: Simplify (/ phi1 2) into (* 1/2 phi1) * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi1))) into (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) * [misc]backup-simplify: Simplify (* (* (cos (* 1/2 phi1)) (- lambda1 lambda2)) (* (cos (* 1/2 phi1)) (- lambda1 lambda2))) into (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi1)) 2) (pow (- lambda1 lambda2) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (/ phi2 2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (- lambda1 lambda2) (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (cos (* 1/2 phi2))) into (* (- lambda1 lambda2) (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* (* (- lambda1 lambda2) (cos (* 1/2 phi2))) (* (- lambda1 lambda2) (cos (* 1/2 phi2)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* lambda1 (cos (* 1/2 (+ phi1 phi2)))) into (* (cos (* 1/2 (+ phi1 phi2))) lambda1) * [misc]backup-simplify: Simplify (* (* (cos (* 1/2 (+ phi1 phi2))) lambda1) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]taylor: Taking taylor expansion of (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ phi1 phi2) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ phi1 phi2) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (/ (+ phi1 phi2) 2) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (- lambda2) (cos (* 1/2 (+ phi1 phi2)))) into (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) * [misc]backup-simplify: Simplify (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) into (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1/3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (exp (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) * [misc]backup-simplify: Simplify (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 phi2)) 2))) into (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) * [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)))) * [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))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) * [misc]backup-simplify: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) * [misc]backup-simplify: Simplify (pow lambda2 2/3) into (pow lambda2 2/3) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (* 1 (cos (* 1/2 (+ phi1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) (cos (* 1/2 (+ phi1 phi2)))) (* (cos (* 1/2 (+ phi1 phi2))) (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) * [misc]taylor: Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]taylor: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) * [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)) * [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))) * [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)))) * [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))))) * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi1 * [misc]taylor: Taking taylor expansion of -2/3 in phi1 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (- (log lambda2)) into (- (log lambda2)) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) * [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))) * [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)))) * [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))))) * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) in phi2 * [misc]taylor: Taking taylor expansion of -2/3 in phi2 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (- (log lambda2)) into (- (log lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (log lambda2))) into (- (log lambda2)) * [misc]backup-simplify: Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3) * [misc]backup-simplify: Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) * [misc]backup-simplify: Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ phi1 phi2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (* 2 (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (sin (* 1/2 phi2))))) 1)) (pow (cos (* 1/2 phi2)) 1)))) 1) into (* -1/2 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (+ (* 2 (* -1/2 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) (* 0 (log (cos (* 1/2 phi2))))) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 phi2))))) (+ (* (/ (pow (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 1) 1)))) into (* -1 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (* (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)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) * [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))))) * [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)))) * [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 * [misc]taylor: Taking taylor expansion of -1/3 in phi2 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 * [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 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) * [misc]backup-simplify: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 0 (pow lambda2 2/3)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2/3))) into (* 1/2 (pow (pow lambda2 2) 1/3)) * [misc]backup-simplify: Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ phi1 phi2)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2)) 0) (+ (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (* 0 (* -1 (* (cos (* 1/2 (+ phi1 phi2))) lambda2))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) 2)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 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)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ phi1 phi2)))) into (log (cos (* 1/2 (+ phi1 phi2)))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) into (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]taylor: Taking taylor expansion of (pow lambda2 4) in lambda2 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) * [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))) * [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)))) * [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))))) * [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)))))) * [misc]taylor: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi1 * [misc]taylor: Taking taylor expansion of -1/9 in phi1 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ phi1 phi2)))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ phi1 phi2))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ phi1 phi2)))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) * [misc]backup-simplify: Simplify (log (cos (* 1/2 phi2))) into (log (cos (* 1/2 phi2))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 phi2)))) into (* 2 (log (cos (* 1/2 phi2)))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 phi2))))) into (pow (cos (* 1/2 phi2)) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) * [misc]taylor: Taking taylor expansion of (* 4 (log lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of 4 in phi1 * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) * [misc]backup-simplify: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) * [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))) * [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)))) * [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))))) * [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)))))) * [misc]taylor: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) in phi2 * [misc]taylor: Taking taylor expansion of -1/9 in phi2 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 phi2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 phi2)))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/8)) 1)) (pow 1 1)))) 2) into -1/8 * [misc]backup-simplify: Simplify (+ (* 2 -1/8) (+ (* 0 0) (* 0 0))) into -1/4 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* 4 (log lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of 4 in phi2 * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) * [misc]backup-simplify: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) * [misc]backup-simplify: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2)) * [misc]backup-simplify: Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3) * [misc]backup-simplify: Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) * [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 (* lambda1 (pow (/ 1 lambda2) 1/3))) (* 1/9 (* (pow lambda1 2) (pow (/ 1 (pow lambda2 4)) 1/3))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))))) into (pow (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) into (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))))) into (pow (* (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 phi1) (/ 1 phi2)) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 phi2) (/ 1 phi1)) 2) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi1 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]taylor: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (- (/ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2))) (* 0 (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 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 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi2)) (/ 1 (/ 1 phi1))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in (lambda1 lambda2 phi1 phi2) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi2 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi2 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi2 * [misc]taylor: Taking taylor expansion of (- phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in phi1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in phi1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in phi1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in phi1 * [misc]taylor: Taking taylor expansion of (- lambda2) in phi1 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in phi1 * [misc]taylor: Taking taylor expansion of (- phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (/ -1 lambda1) (/ 1 lambda2)) into (- (/ 1 lambda2) (/ 1 lambda1)) * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) * [misc]backup-simplify: Simplify (* (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda2 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (- lambda1) into (- lambda1) * [misc]backup-simplify: Simplify (/ 1 (- lambda1)) into (/ -1 lambda1) * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda2 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* 1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda2))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Rewrote expression to (pow (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) in lambda1 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) in lambda1 * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) in lambda1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda1) in lambda1 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- lambda2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- lambda2) in lambda1 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 * [misc]backup-simplify: Simplify lambda2 into lambda2 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (/ 1 (- lambda2)) into (/ -1 lambda2) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) in lambda1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2) in lambda1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- phi1)) (/ 1 (- phi2))) in lambda1 * [misc]taylor: Taking taylor expansion of (/ 1 (- phi1)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi1) in lambda1 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (/ 1 (- phi1)) into (/ -1 phi1) * [misc]taylor: Taking taylor expansion of (/ 1 (- phi2)) in lambda1 * [misc]taylor: Taking taylor expansion of (- phi2) in lambda1 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (/ 1 (- phi2)) into (/ -1 phi2) * [misc]taylor: Taking taylor expansion of 2 in lambda1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 phi1) (/ -1 phi2)) into (- (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 phi2) (/ 1 phi1))) 2) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi1 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi1 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi1 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi1 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi1 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi1 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi1 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi1 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi1 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 * [misc]taylor: Taking taylor expansion of phi2 in phi1 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 * [misc]taylor: Taking taylor expansion of phi1 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi1 * [misc]taylor: Taking taylor expansion of 2 in phi1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi1 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in phi2 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in phi2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in phi2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in phi2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in phi2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in phi2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in phi2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in phi2 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in phi2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 * [misc]taylor: Taking taylor expansion of phi2 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 * [misc]taylor: Taking taylor expansion of phi1 in phi2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 * [misc]taylor: Taking taylor expansion of 2 in phi2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ 0 (/ 1 lambda2)) into (/ 1 lambda2) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 lambda2) (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into (/ -2 lambda2) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) * [misc]taylor: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi1) into (- phi1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi1) (/ 0 (- phi1))) (* 0 (/ 0 (- phi1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- phi2) into (- phi2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 phi2) (/ 0 (- phi2))) (* 0 (/ 0 (- phi2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 lambda2) (/ 0 (- lambda2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) 0) (+ (* (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2) (/ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) lambda2)) (* 0 (* -1 (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 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 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) in lambda2 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) in lambda2 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) in lambda2 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) in lambda2 * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) in lambda2 * [misc]taylor: Taking taylor expansion of (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) in lambda2 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) in lambda2 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) in lambda2 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi2) (/ 1 phi1)) in lambda2 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 * [misc]backup-simplify: Simplify phi2 into phi2 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 * [misc]backup-simplify: Simplify phi1 into phi1 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) * [misc]backup-simplify: Simplify (+ (/ 1 phi2) (/ 1 phi1)) into (+ (/ 1 phi2) (/ 1 phi1)) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) into (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) into (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) into (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) * [misc]backup-simplify: Simplify (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) into (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))) * [misc]backup-simplify: Simplify (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) into (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))) * [misc]backup-simplify: Simplify (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 * [misc]taylor: Taking taylor expansion of 2 in lambda2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 * [misc]backup-simplify: Simplify lambda1 into lambda1 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi2) (/ 1 phi1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi2) (/ 1 phi1)))) 2)) (* 2 (log lambda1)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in phi1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in phi2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi2))) (/ 1 (/ 1 (- phi1)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 5901 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 5901 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (log (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))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (log (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * * * * [misc]progress: [ 4 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (exp (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * * * * [misc]progress: [ 5 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (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))))) (cbrt (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)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))))) * [enter]simplify: Simplifying (cbrt (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))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * * * * [misc]progress: [ 6 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (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)))) (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))))) (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))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) * [exit]simplify: Simplified to (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) * * * * [misc]progress: [ 7 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [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))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * * * * [misc]progress: [ 8 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [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))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) * * * * [misc]progress: [ 9 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) * * * * [misc]progress: [ 10 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (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)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (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)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 11 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 12 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 13 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * * * [misc]progress: [ 14 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * * * * [misc]progress: [ 15 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) * * * * [misc]progress: [ 16 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * * * * [misc]progress: [ 17 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) * * * * [misc]progress: [ 18 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [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 (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [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 (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 19 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [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 (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [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 (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 20 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 21 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 22 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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 (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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 (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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 (+ phi1 phi2)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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 (+ phi1 phi2)) (* phi2 phi2))))) * * * * [misc]progress: [ 23 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [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 (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ 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 (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))) * [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 (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ 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 (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (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))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (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))))))) * * * * [misc]progress: [ 24 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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 (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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 (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (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))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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 (+ phi1 phi2)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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 (+ phi1 phi2)) (* phi2 phi2))))) * * * * [misc]progress: [ 25 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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 (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- 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 (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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 (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- 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 (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (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))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (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))))))) * * * * [misc]progress: [ 26 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [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 (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [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 (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 27 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (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) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (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) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 28 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [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 (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * [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 (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 29 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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))))) (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) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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))))) (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) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 30 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 31 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (+ 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 (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (+ 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 (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (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 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (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 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 32 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (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))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 33 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [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))))) (+ 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [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))))) (+ 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (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 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (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 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 34 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 35 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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))))))) (* (* (* (- (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))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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))))))) (* (* (* (- (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))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (+ (* phi1 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)))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (+ (* phi1 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)))))))) * * * * [misc]progress: [ 36 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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))))))) (* (* (* (- (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))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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))))))) (* (* (* (- (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))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [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 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (+ phi1 phi2)))) * [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 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (+ phi1 phi2)))) * * * * [misc]progress: [ 37 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [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 (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [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 (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [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 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [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 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 38 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* (+ phi1 phi2) 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 (* (+ (* 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 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* (+ phi1 phi2) 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 (* (+ (* 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 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 39 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [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))))) (+ 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 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [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))))) (+ 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 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (sqrt (* (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 lambda2))) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (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 lambda2))) (+ phi1 phi2))))) * * * * [misc]progress: [ 40 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* (+ phi1 phi2) 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 (* (+ (* 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 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* (+ phi1 phi2) 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 (* (+ (* 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 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 41 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [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 (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [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 (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (sqrt (* (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 lambda2))) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (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 lambda2))) (+ phi1 phi2))))) * * * * [misc]progress: [ 42 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 43 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 44 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 45 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- 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 (* (* (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 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- 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 (* (* (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 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 46 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- phi1 phi2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi1 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))) (* (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- phi1 phi2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi1 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))) (* (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))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 47 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (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))) (* (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (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))) (* (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))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 48 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi1 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))) (* (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi1 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))) (* (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))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 49 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (377 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (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))))) (+ 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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (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))))) (+ 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))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 50 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 51 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 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)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 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)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (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))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (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))))) * * * * [misc]progress: [ 52 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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))))) (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))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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))))) (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))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (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))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (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))))) * * * * [misc]progress: [ 53 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [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)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))))) * [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)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 54 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (- (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)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (- (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)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 55 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [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)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))))) * [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)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [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 (+ lambda1 lambda2)) (+ phi2 phi1)))) * [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 (+ lambda1 lambda2)) (+ phi2 phi1)))) * * * * [misc]progress: [ 56 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (- 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)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (- 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)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 57 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [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)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [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)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [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 (+ lambda1 lambda2)) (+ phi2 phi1)))) * [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 (+ lambda1 lambda2)) (+ phi2 phi1)))) * * * * [misc]progress: [ 58 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 59 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 60 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 61 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 62 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- phi1 phi2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi1 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))) (* (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- phi1 phi2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi1 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))) (* (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))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 63 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (378 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (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))) (* (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (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))) (* (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))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 64 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi1 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))) (* (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi1 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))) (* (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))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 65 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (* (+ 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))))) (+ 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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (* (+ 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))))) (+ 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))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 66 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 67 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 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)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 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)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (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))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (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))))) * * * * [misc]progress: [ 68 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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))))) (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 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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))))) (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 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (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))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (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))))) * * * * [misc]progress: [ 69 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (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)) (- (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)) (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (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)) (- (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)) (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 70 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [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)) (- 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 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [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)) (- 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 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 71 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [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))))) (+ 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 (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) * [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))))) (+ 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 (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [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 (+ lambda1 lambda2)) (+ phi2 phi1)))) * [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 (+ lambda1 lambda2)) (+ phi2 phi1)))) * * * * [misc]progress: [ 72 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (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)) (cbrt (+ 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)) (- (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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (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)) (cbrt (+ 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)) (- (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)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 73 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [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 (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) * [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 (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [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 (+ lambda1 lambda2)) (+ phi2 phi1)))) * [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 (+ lambda1 lambda2)) (+ phi2 phi1)))) * * * * [misc]progress: [ 74 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (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 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (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 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 75 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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)) (- (* phi1 phi1) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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)) (- (* phi1 phi1) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 76 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (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))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (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))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 77 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (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))) (+ lambda1 lambda2))))))) * [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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (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))) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 78 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 79 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [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))))) (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (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 lambda1)) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [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))))) (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (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 lambda1)) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * * * * [misc]progress: [ 80 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 81 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [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))))) (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [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))))) (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * * * * [misc]progress: [ 82 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 83 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (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))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (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))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 84 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 85 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi1 phi2) (- 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))) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi1 phi2) (- 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))) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 86 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 87 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ phi1 phi2)))) * * * * [misc]progress: [ 88 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 89 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ phi1 phi2)))) * * * * [misc]progress: [ 90 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (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 (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (- (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (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 (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (- (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 91 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- (* phi1 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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- (* phi1 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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 92 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (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 (* (+ (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (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 (* (+ (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 93 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ 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) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ 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) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * * * [misc]progress: [ 94 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 95 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)))) * * * * [misc]progress: [ 96 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- phi1 phi2)))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 97 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)))) * * * * [misc]progress: [ 98 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 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)) (- (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 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)) (- (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * * * * [misc]progress: [ 99 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (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 (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (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 (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (+ phi2 phi1)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 100 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 101 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) * * * * [misc]progress: [ 102 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (- (pow phi1 3) (pow phi2 3))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * * * * [misc]progress: [ 103 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 104 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (- phi1 phi2)))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * * * * [misc]progress: [ 105 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 106 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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 (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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 (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 107 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [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)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [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)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 108 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 109 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 110 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 111 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [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))))) (+ 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [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))))) (+ 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 112 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 113 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 114 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 115 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [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 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [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 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 116 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [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 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [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 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 117 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 118 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * * * * [misc]progress: [ 119 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 120 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * * * * [misc]progress: [ 121 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 122 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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 (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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 (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 123 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [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)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [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)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 124 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 125 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 126 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 127 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [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))))) (+ 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [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))))) (+ 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 128 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 129 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 130 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (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)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (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)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 131 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 132 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [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 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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))))))))) * [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 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 133 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 134 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * * * * [misc]progress: [ 135 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 136 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * * * * [misc]progress: [ 137 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 138 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (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 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (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 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (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)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (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)) (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 139 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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)) (- (* phi1 phi1) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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)) (- (* phi1 phi1) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 140 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [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)) (- (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (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))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [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)) (- (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (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))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 141 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (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))) (+ lambda1 lambda2))))))) * [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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (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))) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 142 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 143 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [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))))) (+ 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))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (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 lambda1)) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [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))))) (+ 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))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (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 lambda1)) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 144 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 145 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (456 enodes) * [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))))) (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [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))))) (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 146 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (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 (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (- (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (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 (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (- (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 147 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (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 (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (- (* phi1 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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (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 (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (- (* phi1 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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 148 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (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 (* (+ (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (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 (* (+ (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 149 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ 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) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ 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) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * * * [misc]progress: [ 150 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * * * * [misc]progress: [ 151 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * * [misc]simplify: iters left: 2 (487 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)))) * * * * [misc]progress: [ 152 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * * * * [misc]progress: [ 153 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * * [misc]simplify: iters left: 2 (487 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (+ phi1 phi2)))) * * * * [misc]progress: [ 154 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 155 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 156 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 157 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi1 phi2) (- 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))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi1 phi2) (- 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))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 158 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 159 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 160 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 161 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 162 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * * * * [misc]progress: [ 163 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (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 (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (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 (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 164 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 165 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 166 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 167 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)))) * * * * [misc]progress: [ 168 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (- phi1 phi2)))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 169 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)))) * * * * [misc]progress: [ 170 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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 (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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 (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 171 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [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)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [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)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 172 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 173 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 174 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 175 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 176 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 177 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- 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) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- 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) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 178 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 179 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 180 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 181 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 182 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 183 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * * * * [misc]progress: [ 184 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 185 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [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))))) (+ 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) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [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))))) (+ 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) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * * * * [misc]progress: [ 186 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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 (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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 (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 187 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [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)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [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)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 188 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 189 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 190 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 191 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 192 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 193 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- 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) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- 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) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 194 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (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)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (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)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 195 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 196 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 197 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 198 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 199 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * * * * [misc]progress: [ 200 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 201 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [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))))) (+ 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [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))))) (+ 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) * * * * [misc]progress: [ 202 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (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))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (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))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 203 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 204 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (471 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 205 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (471 enodes) * [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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (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))))))) * [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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (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))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (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)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (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)))))) * * * * [misc]progress: [ 206 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (493 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 207 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [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))))) (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [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))))) (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 208 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (493 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 209 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [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))))) (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))))) * [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))))) (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 210 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 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)) (- (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 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)) (- (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * * * * [misc]progress: [ 211 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ 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 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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ 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 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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 212 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (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))))) (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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (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))))) (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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 213 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 214 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (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))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2)))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (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))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2)))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 215 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 216 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (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))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (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))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 217 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 218 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * * * * [misc]progress: [ 219 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ 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 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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ 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 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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 220 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 221 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 222 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 223 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ phi1 phi2)))) * * * * [misc]progress: [ 224 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 225 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (+ phi1 phi2)))) * * * * [misc]progress: [ 226 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 227 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 228 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 229 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (363 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 230 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (366 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 231 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))))) * * * * [misc]progress: [ 232 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (366 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 233 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))))) * * * * [misc]progress: [ 234 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 235 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 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)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 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)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 236 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 237 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * * * * [misc]progress: [ 238 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 239 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 240 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 241 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 242 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 243 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 244 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 245 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * * * * [misc]progress: [ 246 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3)))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 247 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * * * * [misc]progress: [ 248 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (- phi1 phi2))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (- phi1 phi2))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 249 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (471 enodes) * [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))))) (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [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))))) (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * * * * [misc]progress: [ 250 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 251 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 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)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 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)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 252 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 253 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * * * * [misc]progress: [ 254 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 255 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 256 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 257 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 258 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 259 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 260 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 261 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * * * * [misc]progress: [ 262 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 263 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [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))))) (+ phi1 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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))))) (+ phi1 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * * * * [misc]progress: [ 264 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 265 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [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))))) (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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))))) (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * * * * [misc]progress: [ 266 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (- (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)))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (- (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)))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 267 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (437 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 268 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 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 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 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 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 269 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ 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 (* (* (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)))) (cos (/ (+ phi1 phi2) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ 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 (* (* (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)))) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [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 (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [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 (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 270 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* 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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* 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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 271 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 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)) (* (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))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 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)) (* (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))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (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))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (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))))))) * * * * [misc]progress: [ 272 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* 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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* 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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 273 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (370 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) 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) (- (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))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) 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) (- (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))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (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))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (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))))))) * * * * [misc]progress: [ 274 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (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))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (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))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 275 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 276 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 277 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [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)) (* (* (- 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 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 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))))))))) * [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)) (* (* (- 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 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 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))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 278 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 279 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 280 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 281 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 282 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (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))))))) (* (* (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))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (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))))))) (* (* (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))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 283 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 284 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 285 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 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) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 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) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 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))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (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)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (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)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 286 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 287 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 288 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 289 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 290 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (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))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (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))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * * * * [misc]progress: [ 291 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [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)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [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)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 292 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 293 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 294 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))) * [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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) * * * * [misc]progress: [ 295 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 296 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) * * * * [misc]progress: [ 297 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 298 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 299 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [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)) (* (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 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) * [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)) (* (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 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 300 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [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)) (* (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 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [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)) (* (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 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 301 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 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) (- (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)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 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) (- (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)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (339 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 302 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 303 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ 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)) (- (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)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ 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)) (- (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)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 304 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 305 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda1 lambda2) 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) (- (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda1 lambda2) 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) (- (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))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 306 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 307 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* 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))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* 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))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) * * * * [misc]progress: [ 308 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (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))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (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))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 309 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (+ 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (+ 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * * * * [misc]progress: [ 310 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* 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)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* 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)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 311 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 312 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* 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)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* 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)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 313 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 314 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 315 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 316 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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) (- (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))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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) (- (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))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 317 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (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)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (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)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (339 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 318 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (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)))))))) (* (* (* (* (- (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))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (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)))))))) (* (* (* (* (- (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))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 319 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 320 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (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) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (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) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 321 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [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)) (* (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) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [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)) (* (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) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 322 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 323 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (* 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 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (* 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 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) * * * * [misc]progress: [ 324 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (* 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)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (* 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)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 325 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * * * * [misc]progress: [ 326 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* (+ 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)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* (+ 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)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 327 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (cos (/ (+ phi1 phi2) 2))) (* (- 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))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (cos (/ (+ phi1 phi2) 2))) (* (- 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))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 328 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* (+ 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)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* (+ 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)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 329 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 330 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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 (* (* (* (- 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 (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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 (* (* (* (- 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 (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * * * * [misc]progress: [ 331 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 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)) (- (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 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)) (- (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))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 332 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 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)) (- (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 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)) (- (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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * * * * [misc]progress: [ 333 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [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)) (cos (/ (+ phi1 phi2) 2))) (* (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)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [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)) (cos (/ (+ phi1 phi2) 2))) (* (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)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 334 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 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 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))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 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 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))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 335 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [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))))) (+ 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) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [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))))) (+ 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) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 336 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 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 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))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 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 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))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 337 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [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))))) (+ 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 (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))))) * [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))))) (+ 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 (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 338 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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))) (* (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 (* (+ lambda1 lambda2) (+ (* lambda1 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))))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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))) (* (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 (* (+ lambda1 lambda2) (+ (* lambda1 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))))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 339 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (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))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 340 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [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 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (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))))))))) * [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 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 341 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (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 (* (* (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 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (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 (* (* (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 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 342 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [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)) (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 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [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)) (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 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 343 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) * * * * [misc]progress: [ 344 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [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)) (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 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [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)) (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 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 345 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [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)) (* (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) (+ lambda1 lambda2)))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [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)) (* (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) (+ lambda1 lambda2)))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) * * * * [misc]progress: [ 346 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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))) (* (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 (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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))) (* (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 (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 347 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (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))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 348 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 349 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (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)) (- 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) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (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)) (- 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) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 350 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [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)) (* (- 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))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [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)) (* (- 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))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) * * * * [misc]progress: [ 351 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [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)) (* (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) (+ lambda1 lambda2)))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [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)) (* (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) (+ lambda1 lambda2)))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 352 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [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)) (* (- 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))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 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)))))) * [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)) (* (- 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))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 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)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) * * * * [misc]progress: [ 353 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * * [misc]simplify: iters left: 3 (493 enodes) * [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)) (* (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) (+ lambda1 lambda2)))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [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)) (* (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) (+ lambda1 lambda2)))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 354 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) 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) (+ 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 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) 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) (+ 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 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 355 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 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)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 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)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 356 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 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) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 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) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 357 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [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)) (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)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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)) (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)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * * * * [misc]progress: [ 358 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [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)) (* (- 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 phi1) (* (+ phi1 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))))) * [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)) (* (- 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 phi1) (* (+ phi1 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 359 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [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)) (* (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 phi2))) (* (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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)) (* (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 phi2))) (* (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 360 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [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)) (* (- 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 phi1) (* (+ phi1 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (- phi1 phi2))))) * [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)) (* (- 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 phi1) (* (+ phi1 phi2) phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (- phi1 phi2))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 361 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [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)) (* (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 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [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)) (* (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 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 362 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (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)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (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)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * * * * [misc]progress: [ 363 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi1 phi2) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi1 phi2) (- phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 364 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 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))) (* (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))))))) (* (* (* (+ 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 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 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))) (* (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))))))) (* (* (* (+ 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 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 365 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* 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)) (* (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) (+ lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* 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)) (* (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) (+ lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * * * * [misc]progress: [ 366 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [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)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (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)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [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)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (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)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 367 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- 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 (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- 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 (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 368 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [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)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (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)))) (* (* (cbrt (+ 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)) (- phi1 phi2)))))) * [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)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (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)))) (* (* (cbrt (+ 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)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 369 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [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))))) (+ phi1 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))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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))))) (+ phi1 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))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 370 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [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)) (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)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ 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))))))) * [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)) (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)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ 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))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 371 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 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)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 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)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 372 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ 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)) (- 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))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ 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)) (- 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))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 373 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [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 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)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [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 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)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 374 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 375 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 376 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 377 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 378 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (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)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (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)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * * * * [misc]progress: [ 379 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi1 phi2) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi1 phi2) (- phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 380 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 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))) (* (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))))))) (* (* (* (+ 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 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 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))) (* (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))))))) (* (* (* (+ 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 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 381 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* 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)) (* (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) (+ lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* 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)) (* (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) (+ lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * * * * [misc]progress: [ 382 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [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)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (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)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [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)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (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)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 383 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- 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 (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- 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 (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 384 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [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)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (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)))) (* (* (cbrt (+ 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)) (- phi1 phi2)))))) * [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)) (- lambda1 lambda2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (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)))) (* (* (cbrt (+ 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)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 385 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [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))))) (+ phi1 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))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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))))) (+ phi1 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))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 386 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) 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))) (* (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)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) 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))) (* (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)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 387 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 388 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [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 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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)))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) * [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 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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)))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 389 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [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)) (- 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))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [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)) (- 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))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 390 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 391 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [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)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 392 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 393 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [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))))) (+ 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)) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [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))))) (+ 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)) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 394 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (- (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)))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (- (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)))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 395 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (437 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 396 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 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 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 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 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 397 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (425 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (+ (* (* (* (* (+ phi1 phi2) (- 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 lambda1))))) (- 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (+ (* (* (* (* (+ phi1 phi2) (- 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 lambda1))))) (- 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [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 (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [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 (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 398 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* 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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* 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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 399 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 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)) (* (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))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 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)) (* (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))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (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))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (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))))))) * * * * [misc]progress: [ 400 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* 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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* 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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 401 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (* (+ 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)) (- (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))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (* (+ 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)) (- (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))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (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))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (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))))))) * * * * [misc]progress: [ 402 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (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))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (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))))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 403 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 404 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 405 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [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)) (* (* (- 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 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 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))))))))) * [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)) (* (* (- 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 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 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))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 406 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 407 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 408 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 409 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 410 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (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))))))) (* (* (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 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (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))))))) (* (* (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 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 411 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 412 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 413 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 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) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 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) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 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))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (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)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (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)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 414 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 415 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 416 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [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)) (* (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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 417 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 418 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (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))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (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))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * * * * [misc]progress: [ 419 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [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)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [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)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 420 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 421 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 422 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))) * [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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) * * * * [misc]progress: [ 423 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 424 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [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)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- phi1 phi2) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) * * * * [misc]progress: [ 425 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 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) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 426 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 427 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 428 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 429 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (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)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (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)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (339 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 430 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (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)))))))) (* (* (* (* (- (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))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (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)))))))) (* (* (* (* (- (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))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 431 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 432 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (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) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) 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)) (* (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) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 433 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [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)) (* (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) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [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)) (* (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) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 434 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (+ 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 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (+ 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 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 435 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* 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))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (* 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))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) * * * * [misc]progress: [ 436 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (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))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (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))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 437 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (+ 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (+ 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * * * * [misc]progress: [ 438 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* 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)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* 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)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 439 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 440 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* 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)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* 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)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 441 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 442 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 443 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [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)) (* (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 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) * [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)) (* (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 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 444 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [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)) (* (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 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [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)) (* (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 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 445 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* 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)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ 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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (+ (* 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)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ 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))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (339 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * * * * [misc]progress: [ 446 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 447 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (380 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- 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) (- (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (- 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) (- (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))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 448 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 449 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) 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) (- (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) 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) (- (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))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 450 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- (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) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- (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) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 451 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (* 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 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (* 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 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) * * * * [misc]progress: [ 452 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (* 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)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (* 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)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 453 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * * * * [misc]progress: [ 454 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (- (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 (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (- (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 (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 455 / 5901 ] simplifiying candidate # * [enter]simplify: 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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (cos (/ (+ phi1 phi2) 2))) (* (- 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))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (cos (/ (+ phi1 phi2) 2))) (* (- 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))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 456 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (- (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 (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (- (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 (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 457 / 5901 ] simplifiying candidate # * [enter]simplify: 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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 458 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * * * * [misc]progress: [ 459 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 460 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 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 (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 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 (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * * * * [misc]progress: [ 461 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 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))))))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 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))))))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 462 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 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)) (* (* (* (+ 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) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 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)) (* (* (* (+ 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) phi2) (* phi1 phi1)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 463 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [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))))) (+ 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [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))))) (+ 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 464 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 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)) (* (* (* (+ 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) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 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)) (* (* (* (+ 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) phi2) (* phi1 phi1)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 465 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [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))))) (+ 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [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))))) (+ 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 466 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 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))))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 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))))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 467 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 468 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 469 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 470 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 471 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [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)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [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)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) * * * * [misc]progress: [ 472 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 473 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [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)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [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)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) * * * * [misc]progress: [ 474 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 475 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (- lambda1 lambda2))) (* (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (- lambda1 lambda2))) (* (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))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 476 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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 lambda2) (- lambda1 lambda2))) (* (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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 lambda2) (- lambda1 lambda2))) (* (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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 477 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 478 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) * * * * [misc]progress: [ 479 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [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)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [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)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 480 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) * * * * [misc]progress: [ 481 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 482 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- 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))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- 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))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 483 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- 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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- 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))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 484 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- 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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- 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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 485 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * * * * [misc]progress: [ 486 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 487 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [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)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 488 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 489 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 490 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (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 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (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 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * * * * [misc]progress: [ 491 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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) (- 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 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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) (- 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 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 492 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (493 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 493 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (* (+ 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (* (+ 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * * * * [misc]progress: [ 494 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [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)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [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)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 495 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi1 phi2) (- phi1 phi2)))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 496 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [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)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (- (pow phi1 3) (pow phi2 3))))) * [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)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 497 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 498 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 499 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 500 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [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 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [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 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 501 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [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)) (* (- 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))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [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)) (* (- 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))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 502 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* (+ 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 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* (+ 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 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 503 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [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)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [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)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 504 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* (+ 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 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* (+ 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 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 505 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 506 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (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 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (- (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 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * * * * [misc]progress: [ 507 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 508 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (493 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 509 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (* (+ 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (* (+ 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)))))) * * * * [misc]progress: [ 510 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [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)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [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)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 511 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi1 phi2) (- phi1 phi2)))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 512 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [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)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (- (pow phi1 3) (pow phi2 3))))) * [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)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 513 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 514 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [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)) (* (* (- 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))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ 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))))))) * [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)) (* (* (- 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))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ 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))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 515 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 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 (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 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 (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 516 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ 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 (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ 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 (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 517 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 518 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 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)) (* (* (* (+ 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))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 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)) (* (* (* (+ 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))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 519 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 520 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 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)) (* (* (* (+ 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))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 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)) (* (* (* (+ 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))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 521 / 5901 ] simplifiying candidate # * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 522 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [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))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 523 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [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))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 524 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [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))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 525 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 526 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [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))))) (+ (* (+ phi1 phi2) 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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [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))))) (+ (* (+ phi1 phi2) 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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 527 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (339 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)))) * * * * [misc]progress: [ 528 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [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))))) (+ (* (+ phi1 phi2) 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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [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))))) (+ (* (+ phi1 phi2) 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)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 529 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (339 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)))) * * * * [misc]progress: [ 530 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * * * * [misc]progress: [ 531 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * * * * [misc]progress: [ 532 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* 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))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * * * * [misc]progress: [ 533 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [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)) (* (+ 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)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (+ 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)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 534 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 535 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (324 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)))) * * * * [misc]progress: [ 536 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* 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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 537 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (324 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)))) * * * * [misc]progress: [ 538 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [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 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (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)) (* (+ 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))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) * [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 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (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)) (* (+ 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))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 539 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (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)))))) (- (* phi1 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 (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (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)))))) (- (* phi1 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 (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 540 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (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 (* (* (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) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (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 (* (* (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) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 541 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (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)) (+ 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)) (* (* (- (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))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (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)) (+ 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)) (* (* (- (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))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * * * [misc]progress: [ 542 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [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)) (* (+ 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))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (* (- 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)))))) (- (pow phi1 3) (pow phi2 3))))) * [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)) (* (+ 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))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (* (- 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)))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 543 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (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)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (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)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* 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)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* 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)))) * * * * [misc]progress: [ 544 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [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)) (* (+ 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))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (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)))))) (- phi1 phi2)))) * [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)) (* (+ 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))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (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)))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 545 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (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)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (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)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (338 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* 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)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* 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)))) * * * * [misc]progress: [ 546 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (- (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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (- (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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * * * * [misc]progress: [ 547 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 548 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 549 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 550 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 551 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ 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)) (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ 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)) (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 552 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 553 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 554 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 555 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 556 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (456 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 557 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [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)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [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)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 558 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 559 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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 (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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 (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 560 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* 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)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* 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)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 561 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 562 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 563 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [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 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [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 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 564 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [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 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [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 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (456 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))) * * * * [misc]progress: [ 565 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 566 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 567 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * * * * [misc]progress: [ 568 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 569 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * * * * [misc]progress: [ 570 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 571 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 572 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (456 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 573 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [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)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [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)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 574 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 575 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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 (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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 (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 576 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* 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)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* 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)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 577 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 578 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 579 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 580 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [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 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [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 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (456 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))) * * * * [misc]progress: [ 581 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 582 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 583 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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)) (* (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))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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)) (* (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))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * * * * [misc]progress: [ 584 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 585 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1))))) * * * * [misc]progress: [ 586 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 587 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* 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) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* 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) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 588 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* 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) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* 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) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 589 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 590 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [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))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [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))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 591 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (345 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 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)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 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)))) * * * * [misc]progress: [ 592 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [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))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [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))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 593 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [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))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (345 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 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)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 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)))) * * * * [misc]progress: [ 594 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * * * * [misc]progress: [ 595 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 596 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi1 phi2) 2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (+ phi2 phi1) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (+ phi2 phi1) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * * * * [misc]progress: [ 597 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (+ phi2 phi1) (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (+ phi2 phi1) (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * * * * [misc]progress: [ 598 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (377 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * * * * [misc]progress: [ 599 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (287 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * * * * [misc]progress: [ 600 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (377 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * * * * [misc]progress: [ 601 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cos (/ (+ phi1 phi2) 2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (+ lambda1 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ lambda1 lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) * * * * [misc]progress: [ 602 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (sqrt (* (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) 3) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) 3) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 603 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (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)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (378 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) 3))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) 3))) * * * * [misc]progress: [ 604 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (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)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (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)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) 3))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) 3))) * * * * [misc]progress: [ 605 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * * * [misc]progress: [ 606 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * * * * [misc]progress: [ 607 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (339 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2))) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2))) * * * * [misc]progress: [ 608 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * * * * [misc]progress: [ 609 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2))) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi1 phi2))) * * * * [misc]progress: [ 610 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (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) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (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) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (492 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 611 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 612 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) * * * * [misc]progress: [ 613 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 614 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 615 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [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))))) * [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))))) * * * * [misc]progress: [ 616 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 617 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [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))))) * [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))))) * * * * [misc]progress: [ 618 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 619 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [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)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [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)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 620 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 621 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (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) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (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) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * * * * [misc]progress: [ 622 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 623 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ 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 (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ 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 (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 624 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 625 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 626 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 627 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (- (* phi1 phi1) (* phi2 phi2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 628 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi2 phi2) (* (+ phi2 phi1) phi1)) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi2 phi2) (* (+ phi2 phi1) phi1)) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)))))) * * * * [misc]progress: [ 629 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * * * * [misc]progress: [ 630 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (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)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (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)))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 631 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)))) * * * * [misc]progress: [ 632 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (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)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (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)))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 633 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)))) * * * * [misc]progress: [ 634 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 635 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [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)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [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)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 636 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 637 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (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) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (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) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * * * * [misc]progress: [ 638 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 639 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ 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 (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ 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 (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 640 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 641 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 642 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 643 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 644 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi2 phi2) (* (+ phi2 phi1) phi1)) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi2 phi2) (* (+ phi2 phi1) phi1)) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)))))) * * * * [misc]progress: [ 645 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * * * * [misc]progress: [ 646 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 647 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ 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 (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ 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 (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)))) * * * * [misc]progress: [ 648 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 649 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ 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)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ 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)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (+ phi2 phi1)))) * * * * [misc]progress: [ 650 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 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))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 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))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 651 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 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)))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 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)))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 652 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 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)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 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)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 653 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- 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)) (+ (* 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))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- 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)) (+ (* 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))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [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) (+ phi1 phi2)))) * [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) (+ phi1 phi2)))) * * * * [misc]progress: [ 654 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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) phi2) (* phi1 phi1)))) (* (* (* (- phi1 phi2) (cbrt (* (+ lambda1 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))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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) phi2) (* phi1 phi1)))) (* (* (* (- phi1 phi2) (cbrt (* (+ lambda1 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))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [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 phi1)) (* phi2 phi2))))) * [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 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 655 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (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)))))) (* (* (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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (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)))))) (* (* (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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 656 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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) phi2) (* phi1 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 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)))))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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) phi2) (* phi1 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 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)))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [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 phi1)) (* phi2 phi2))))) * [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 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 657 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (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))))) (+ 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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (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))))) (+ 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))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 658 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (sqrt (* (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) 3) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) 3) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) * * * * [misc]progress: [ 659 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) 3))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) 3))) * * * * [misc]progress: [ 660 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ phi1 phi2)) (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) 3))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ phi1 phi2)) (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) 3))) * * * * [misc]progress: [ 661 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (pow (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) 3)) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (pow (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) 3)) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * * * * [misc]progress: [ 662 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * * * * [misc]progress: [ 663 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) * * * * [misc]progress: [ 664 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * * * * [misc]progress: [ 665 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) * * * * [misc]progress: [ 666 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) * * * * [misc]progress: [ 667 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) 3) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) 3) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * * * * [misc]progress: [ 668 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * * * * [misc]progress: [ 669 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) * * * * [misc]progress: [ 670 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * * [misc]simplify: iters left: 2 (427 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * * * * [misc]progress: [ 671 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 lambda1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 lambda1))))) * * * * [misc]progress: [ 672 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * * [misc]simplify: iters left: 2 (427 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * * * * [misc]progress: [ 673 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 lambda1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* lambda1 lambda2)) (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 lambda1))))) * * * * [misc]progress: [ 674 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 675 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 676 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 677 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- 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) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- 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) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * * [misc]simplify: iters left: 2 (413 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * * * [misc]progress: [ 678 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * * [misc]simplify: iters left: 3 (471 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 679 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * * [misc]simplify: iters left: 3 (407 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (353 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 680 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * * [misc]simplify: iters left: 3 (471 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3)))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3)))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 681 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (353 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 682 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 683 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (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)) (* (- 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)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (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)) (* (- 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)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 684 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 685 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * * [misc]simplify: iters left: 2 (429 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 686 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (- lambda1 lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- phi1 phi2) (- (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))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (- lambda1 lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- phi1 phi2) (- (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))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * * * * [misc]progress: [ 687 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 688 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (- lambda1 lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (- lambda1 lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * * * * [misc]progress: [ 689 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- 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))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- 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))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 690 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 691 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 692 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 693 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * * [misc]simplify: iters left: 2 (429 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 694 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- phi1 phi2) (- (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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- phi1 phi2) (- (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)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * * * * [misc]progress: [ 695 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ 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)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ 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)) (+ phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))) * * * * [misc]progress: [ 696 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * * * * [misc]progress: [ 697 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (* (- 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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (* (- 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)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))) * * * * [misc]progress: [ 698 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 699 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 700 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 701 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * * [misc]simplify: iters left: 2 (429 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 702 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (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 phi2) (- (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))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (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 phi2) (- (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))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * * * * [misc]progress: [ 703 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 704 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (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)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (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)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * * * * [misc]progress: [ 705 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- 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))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- 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))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 706 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 707 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 708 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 709 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * * [misc]simplify: iters left: 2 (429 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 710 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- phi1 phi2) (- (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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- phi1 phi2) (- (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)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * * * * [misc]progress: [ 711 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))) * * * * [misc]progress: [ 712 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))) * * * * [misc]progress: [ 713 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (373 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (+ 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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (+ 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)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2))))) * * * * [misc]progress: [ 714 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3)))) (- (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))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3)))) (- (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))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * * * * [misc]progress: [ 715 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ 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)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ 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)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 716 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 717 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- 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) (+ 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) (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- 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) (+ 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) (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 718 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * * * * [misc]progress: [ 719 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 720 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * * * * [misc]progress: [ 721 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 722 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 723 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 724 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (* (+ phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 725 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 726 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * * [misc]simplify: iters left: 2 (429 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 727 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (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)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (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)) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))))) * * * * [misc]progress: [ 728 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * * [misc]simplify: iters left: 2 (429 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 729 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))))) * * * * [misc]progress: [ 730 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 731 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [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))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) * [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))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 732 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (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))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (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))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 733 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ 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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * * * [misc]progress: [ 734 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * * * * [misc]progress: [ 735 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)))) * * * * [misc]progress: [ 736 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * * * * [misc]progress: [ 737 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ phi1 phi2)))) * * * * [misc]progress: [ 738 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 739 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 740 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 741 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 742 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 743 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))))) * * * * [misc]progress: [ 744 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 745 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi1 phi2))))) * * * * [misc]progress: [ 746 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * * * * [misc]progress: [ 747 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 748 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 749 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 750 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 751 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 752 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- phi1 phi2) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- phi1 phi2) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 753 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (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)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (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)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 754 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 755 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 756 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 757 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 758 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 759 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (432 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 760 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 761 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 762 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * * * * [misc]progress: [ 763 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 764 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 765 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 766 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 767 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 768 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- phi1 phi2) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (- phi1 phi2) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 769 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (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)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (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)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))))) * * * * [misc]progress: [ 770 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 771 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 772 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 773 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 774 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 775 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 776 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 777 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 778 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (* (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)) (* (+ 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 (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (* (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)) (* (+ 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 (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 779 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* 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)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* 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)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 780 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 781 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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) (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [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) (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 782 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 783 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [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)) (* (- 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) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [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)) (* (- 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) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 784 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 785 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- 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) (+ 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 (+ 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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- 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) (+ 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 (+ 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)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 786 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (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 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (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 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 787 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 788 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 789 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ 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))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ 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))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 790 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 791 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 792 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 793 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (363 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 794 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 795 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [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))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [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))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 796 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (314 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 797 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [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 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [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 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 798 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- phi1 phi2) (- (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))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- phi1 phi2) (- (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))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 799 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (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))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (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))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 800 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 801 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 802 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * * * * [misc]progress: [ 803 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 804 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 805 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 806 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 807 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- 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) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- 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) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 808 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 809 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (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)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (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)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 810 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 811 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ 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)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ 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)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 812 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 813 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- 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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- 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)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 814 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (pow phi1 3) (pow phi2 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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (pow phi1 3) (pow phi2 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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 815 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 816 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (pow phi1 3) (pow phi2 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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (pow phi1 3) (pow phi2 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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 817 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 818 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- lambda1 lambda2))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- lambda1 lambda2))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 819 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (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)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (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)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 820 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (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))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (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))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 821 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ 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) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ 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) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 822 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 823 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [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 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) * [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 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 824 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 825 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (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 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (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 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 826 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (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)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (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)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 827 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ 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) (* (+ phi1 phi2) 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) (- (pow lambda1 3) (pow lambda2 3))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ 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) (* (+ phi1 phi2) 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) (- (pow lambda1 3) (pow lambda2 3))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 828 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 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 (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 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 (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 829 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- 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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- 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)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 830 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 831 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 832 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 833 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 834 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 835 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (* (- 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)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (* (- 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)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 836 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 837 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (429 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 838 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 839 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 840 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 841 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 842 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (- 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) (- 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 (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (- 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) (- 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 (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 843 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 844 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [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 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [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 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 845 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [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)) (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [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)) (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 846 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 847 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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)) (* (- 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)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [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)) (* (- 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)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 848 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 849 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 850 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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) (+ lambda1 lambda2))))))) (* (* (* (- (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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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) (+ lambda1 lambda2))))))) (* (* (* (- (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)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 851 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 852 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (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)))) (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (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)))) (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 853 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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) (- 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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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) (- 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)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 854 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (437 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (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) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (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) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 855 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 856 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (437 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (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) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (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) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 857 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 858 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 859 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 860 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (314 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 861 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (456 enodes) * [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)) (+ 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) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) * [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)) (+ 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) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 862 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- phi1 phi2) (- (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)))))) * [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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- phi1 phi2) (- (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)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 863 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (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))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (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))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 864 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 865 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (431 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 866 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (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) (- lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (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) (- lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 867 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 868 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 869 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 870 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (- phi1 phi2) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (- phi1 phi2) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 871 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 872 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 873 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (432 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 874 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 875 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 876 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * * [misc]simplify: iters left: 3 (493 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 877 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- 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)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- 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)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 878 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [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))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [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))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 879 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 880 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [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))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [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))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 881 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (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))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 882 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (+ lambda1 lambda2)))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (+ lambda1 lambda2)))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 883 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 884 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 885 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 886 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 887 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 888 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 889 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 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 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 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 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 890 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 891 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (* (- 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) (- lambda1 lambda2)))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (* (- 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) (- lambda1 lambda2)))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 892 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * * [misc]simplify: iters left: 3 (493 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- 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 (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- 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 (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 893 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ 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)) (* (+ 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)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ 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)) (* (+ 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)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 894 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [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))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [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))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 895 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 896 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [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))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [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))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 897 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 898 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 899 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 900 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 901 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 902 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 903 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (425 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 904 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 905 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * [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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 906 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (* (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)) (* (+ 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 (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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)) (* (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)) (* (+ 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 (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 907 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* 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)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* 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)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 908 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [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))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 909 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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) (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [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) (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 910 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 911 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (* (- 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) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (* (- 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) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 912 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 913 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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 (+ 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)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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 (+ 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)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 914 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (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 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (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 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 915 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 916 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 917 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ 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))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ 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))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 918 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 919 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 920 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 921 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (366 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 922 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 923 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [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))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [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))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 924 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ 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 (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (314 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 925 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (sqrt (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (+ phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (+ phi1 phi2))) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 926 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- phi1 phi2) (- (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))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- phi1 phi2) (- (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))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 927 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (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))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (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))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 928 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 929 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 930 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * * * * [misc]progress: [ 931 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 932 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 933 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 934 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 935 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 936 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- lambda1 lambda2)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 937 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (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)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (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)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * * * * [misc]progress: [ 938 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 939 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ 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) (* (+ phi1 phi2) 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) (- (pow lambda1 3) (pow lambda2 3))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ 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) (* (+ phi1 phi2) 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) (- (pow lambda1 3) (pow lambda2 3))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 940 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 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 (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 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 (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 941 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi1 phi2) (- 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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi1 phi2) (- 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)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 942 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 943 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (397 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 944 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (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) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 945 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 946 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- lambda1 lambda2))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (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) (- lambda1 lambda2))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 947 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (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)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (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)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 948 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (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))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 949 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ 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) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ 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) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 950 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 951 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [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 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) * [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 (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 952 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 953 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (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 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (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 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 954 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (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) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 955 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ 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)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ 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)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 956 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (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))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 957 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 958 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (* (cbrt (* (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)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (* (cbrt (* (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)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 959 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (373 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ 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) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 960 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (* (cbrt (* (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)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (* (cbrt (* (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)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 961 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (383 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (+ phi2 phi1)))) * * * * [misc]progress: [ 962 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 963 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (* (- 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)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (* (- 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)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (+ phi1 phi2) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 964 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (* (* (+ 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))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (* (* (+ 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))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 965 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (429 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 966 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (456 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 967 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 968 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (456 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 969 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2)) (* (cbrt (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 970 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (* (+ 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) (- 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 (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ 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 lambda2) (* (+ 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) (- 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 (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 971 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (276 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ 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)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ 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)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 972 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [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 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) * [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 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 973 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 974 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 975 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [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)) (* (- 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 (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [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)) (* (- 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 (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 976 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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) (* (+ phi1 phi2) phi2)))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 977 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (* (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)))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (* (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)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 978 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (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)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 979 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 980 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (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)))) (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (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)))) (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 981 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- 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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- 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)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 982 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 983 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 984 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 985 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 986 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 987 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 988 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (314 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 989 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (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)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (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)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 990 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 991 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 992 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * * * * [misc]progress: [ 993 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 994 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 995 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 996 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 997 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 998 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 999 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi1 phi2))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 1000 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1001 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (416 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 1002 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 1003 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1004 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1005 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ 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)) (* (* (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ 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)) (* (* (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 1006 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))))))) * [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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 1007 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1008 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))) * [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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 1009 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1010 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1011 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 1012 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 1013 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- 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) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- 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) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1014 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1015 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (425 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1016 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi1 phi2) 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))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1017 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- 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) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1018 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 1019 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (* (- 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) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* (+ phi1 phi2) 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)) (* (* (- 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) (- lambda1 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (- phi1 phi2) (+ phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1020 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1021 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ 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)) (* (* (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ 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)) (* (* (* (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 1022 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))))))) * [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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 1023 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1024 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))) * [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))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)))) (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 1025 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1026 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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 (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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 (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1027 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 1028 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))))) * * * * [misc]progress: [ 1029 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1030 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ 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)) (* (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ 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)) (* (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1031 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1032 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ 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)) (* (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ 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)) (* (* (* (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1033 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (377 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * * * * [misc]progress: [ 1034 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1035 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ 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))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1036 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1037 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 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)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 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)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1038 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 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)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1039 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * * [misc]simplify: iters left: 3 (471 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) * * * * [misc]progress: [ 1040 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 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))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 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))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1041 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) * * * * [misc]progress: [ 1042 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [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)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [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)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (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))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (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))))))) * * * * [misc]progress: [ 1043 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (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)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (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)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (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))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (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))))))) * * * * [misc]progress: [ 1044 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (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))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (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))))))) * * * * [misc]progress: [ 1045 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 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)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 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)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * * * [misc]progress: [ 1046 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 1047 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * * [misc]simplify: iters left: 2 (488 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)))) * * * * [misc]progress: [ 1048 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 1049 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * * [misc]simplify: iters left: 2 (488 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)))) * * * * [misc]progress: [ 1050 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (259 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (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 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (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 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1051 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (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))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (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))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1052 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- 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)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- 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)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (+ phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (+ phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1053 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1054 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 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) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 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) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1055 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ phi1 phi2)))) * * * * [misc]progress: [ 1056 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 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)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 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)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1057 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ phi1 phi2)))) * * * * [misc]progress: [ 1058 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (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))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (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))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * * * * [misc]progress: [ 1059 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1060 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ phi1 phi2)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1061 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1062 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 1063 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))))) * * * * [misc]progress: [ 1064 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 1065 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))))) * * * * [misc]progress: [ 1066 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (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))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (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))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1067 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [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))) (+ lambda2 lambda1))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [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))) (+ lambda2 lambda1))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1068 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (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)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (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)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (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)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (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)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) * * * * [misc]progress: [ 1069 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* 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) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* 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) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [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)) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [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)) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1070 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (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)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (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)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1071 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))))) * * * * [misc]progress: [ 1072 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (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)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (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)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1073 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* (+ 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) (* (- phi1 phi2) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* (+ 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) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))))) * * * * [misc]progress: [ 1074 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 1075 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1076 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1077 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1078 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1079 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))))) * * * * [misc]progress: [ 1080 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1081 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * * [misc]simplify: iters left: 3 (493 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))))) * * * * [misc]progress: [ 1082 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (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))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (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))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1083 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [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))) (+ lambda2 lambda1))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [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))) (+ lambda2 lambda1))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1084 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (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)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (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)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (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)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (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)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) * * * * [misc]progress: [ 1085 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (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))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* 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) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (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))))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* 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) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [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)) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [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)) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1086 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (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)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (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)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1087 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (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)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))))) * * * * [misc]progress: [ 1088 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (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)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (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)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1089 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ 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))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* (+ 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) (* (- phi1 phi2) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ 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))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* (+ 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) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))))) * * * * [misc]progress: [ 1090 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 1091 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1092 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1093 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1094 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1095 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (471 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))))) * * * * [misc]progress: [ 1096 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 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)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1097 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))))) * * * * [misc]progress: [ 1098 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [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)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [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)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1099 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (293 enodes) * [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)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [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)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1100 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (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)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (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)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1101 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (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)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (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)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (387 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * * * [misc]progress: [ 1102 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (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)))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (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)))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 1103 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1104 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (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)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (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)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 1105 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1106 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) * * * * [misc]progress: [ 1107 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) 3) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (pow (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) 3) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) * * * * [misc]progress: [ 1108 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) * * * * [misc]progress: [ 1109 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * * [misc]simplify: iters left: 2 (467 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) * * * * [misc]progress: [ 1110 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * * [misc]simplify: iters left: 2 (437 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * * * * [misc]progress: [ 1111 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (409 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* lambda2 lambda1)) (+ lambda2 lambda1)) (* (* (+ phi1 phi2) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* lambda2 lambda1)) (+ lambda2 lambda1)) (* (* (+ phi1 phi2) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) * * * * [misc]progress: [ 1112 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * * [misc]simplify: iters left: 2 (437 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * * * * [misc]progress: [ 1113 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (+ phi2 phi1) (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (409 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* lambda2 lambda1)) (+ lambda2 lambda1)) (* (* (+ phi1 phi2) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* lambda2 lambda1)) (+ lambda2 lambda1)) (* (* (+ phi1 phi2) (+ lambda2 lambda1)) (+ (* lambda1 lambda1) (* lambda2 lambda2))))) * * * * [misc]progress: [ 1114 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (sqrt (* (pow (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) 3) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (pow (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) 3) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) * * * * [misc]progress: [ 1115 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (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 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (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 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (pow (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) 3))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (pow (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) 3))) * * * * [misc]progress: [ 1116 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- 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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- 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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (407 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ phi1 phi2)) (pow (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) 3))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ phi1 phi2)) (pow (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) 3))) * * * * [misc]progress: [ 1117 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (pow (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) 3)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (pow (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) 3)) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) * * * * [misc]progress: [ 1118 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * * * * [misc]progress: [ 1119 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) * * * * [misc]progress: [ 1120 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * * * * [misc]progress: [ 1121 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) * * * * [misc]progress: [ 1122 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1123 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1124 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1125 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * * * [misc]progress: [ 1126 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 1127 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1128 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 1129 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1130 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 1131 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1132 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 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 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 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 phi1)))) * * * * [misc]progress: [ 1133 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1134 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * * * * [misc]progress: [ 1135 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (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 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (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 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * * * * [misc]progress: [ 1136 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * * * * [misc]progress: [ 1137 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * * * * [misc]progress: [ 1138 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1139 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1140 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 1141 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1142 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1143 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1144 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1145 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1146 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 1147 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1148 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ 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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 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 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 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 phi1)))) * * * * [misc]progress: [ 1149 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) * [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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1150 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (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))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (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))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * * * * [misc]progress: [ 1151 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * * * * [misc]progress: [ 1152 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (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))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (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))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * * * * [misc]progress: [ 1153 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * * * * [misc]progress: [ 1154 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1155 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1156 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 1157 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1158 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1159 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1160 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1161 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1162 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1163 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (275 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1164 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1165 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (425 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 1166 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 1167 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * * [misc]simplify: iters left: 3 (471 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) * * * * [misc]progress: [ 1168 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 1169 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) * * * * [misc]progress: [ 1170 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (- (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (- (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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (sqrt (* (pow (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) 3) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (pow (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) 3) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 1171 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (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)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (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)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (pow (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) 3))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (pow (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) 3))) * * * * [misc]progress: [ 1172 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- 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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- 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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (pow (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) 3))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (pow (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) 3))) * * * * [misc]progress: [ 1173 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (407 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * * [misc]simplify: iters left: 2 (442 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi1 phi2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (+ phi1 phi2) (+ phi1 phi2)))) * * * * [misc]progress: [ 1174 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (+ lambda1 lambda2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (+ lambda1 lambda2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (381 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * * * * [misc]progress: [ 1175 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (+ phi1 phi2))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (+ phi1 phi2))) * * * * [misc]progress: [ 1176 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (+ lambda1 lambda2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (+ lambda1 lambda2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * * [misc]simplify: iters left: 2 (381 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * * * * [misc]progress: [ 1177 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (+ phi1 phi2))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (+ phi1 phi2))) * * * * [misc]progress: [ 1178 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) * * * * [misc]progress: [ 1179 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (399 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ lambda2 lambda1)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ lambda2 lambda1)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) * * * * [misc]progress: [ 1180 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (+ phi2 phi1) (+ lambda2 lambda1)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (* (+ phi2 phi1) (+ lambda2 lambda1)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1181 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (346 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (+ lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (+ lambda2 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (+ lambda2 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) * * * * [misc]progress: [ 1182 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) * * * * [misc]progress: [ 1183 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (493 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ lambda2 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ lambda2 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) * * * * [misc]progress: [ 1184 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) * * * * [misc]progress: [ 1185 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cos (/ (+ phi2 phi1) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cos (/ (+ phi2 phi1) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (+ lambda1 lambda2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (493 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ lambda2 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ lambda2 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) * * * * [misc]progress: [ 1186 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 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)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 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)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (492 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1187 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1188 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1189 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1190 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (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 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (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 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1191 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1192 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (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))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (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))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1193 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1194 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1195 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1196 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 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 (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 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 (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1197 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1))))) * * * * [misc]progress: [ 1198 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1199 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1200 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1201 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ 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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ 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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1202 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (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)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (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)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1203 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1204 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi1) (* phi2 phi2)) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi1) (* phi2 phi2)) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1205 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))))) * * * * [misc]progress: [ 1206 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1207 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ 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) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ 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) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1208 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1209 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ 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) (+ lambda1 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ 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) (+ lambda1 lambda2)))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1210 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1211 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1212 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 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 (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 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 (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1213 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1))))) * * * * [misc]progress: [ 1214 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1215 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ 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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ 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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1216 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1217 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ 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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ 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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1218 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (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 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (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 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1219 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1220 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi1) (* phi2 phi2)) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi1) (* phi2 phi2)) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1221 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))))) * * * * [misc]progress: [ 1222 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [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)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [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)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1223 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1224 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [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)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [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)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1225 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (- 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1226 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * * * * [misc]progress: [ 1227 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1228 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 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 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 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 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1229 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1230 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (- phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (- phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (456 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 1231 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1232 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (456 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 1233 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1234 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1235 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1236 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 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 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 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 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (441 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1237 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * * [misc]simplify: iters left: 2 (466 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * * * [misc]progress: [ 1238 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (492 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * * * * [misc]progress: [ 1239 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ phi1 phi2)))) * * * * [misc]progress: [ 1240 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (492 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) * * * * [misc]progress: [ 1241 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (441 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (+ phi1 phi2)))) * * * * [misc]progress: [ 1242 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 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))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (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 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 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))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (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 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1243 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ 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)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ 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)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1244 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1245 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1246 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1247 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)))) * * * * [misc]progress: [ 1248 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1249 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (370 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (+ phi1 phi2)))) * * * * [misc]progress: [ 1250 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 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))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (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)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 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))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (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)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1251 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1252 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1253 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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) (+ lambda1 lambda2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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) (+ lambda1 lambda2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1254 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1255 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (370 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))))) * * * * [misc]progress: [ 1256 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1257 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))))) * * * * [misc]progress: [ 1258 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * * * * [misc]progress: [ 1259 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (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)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (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)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1260 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (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))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (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))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 1261 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1262 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1263 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1))))) * * * * [misc]progress: [ 1264 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (- phi1 phi2) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (- phi1 phi2) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1265 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1))))) * * * * [misc]progress: [ 1266 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1267 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1268 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1269 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1270 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1271 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (416 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1272 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1273 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1274 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) * * * * [misc]progress: [ 1275 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1276 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (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)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (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)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 1277 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1278 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1279 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1))))) * * * * [misc]progress: [ 1280 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (- phi1 phi2) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (- phi1 phi2) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1281 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1))))) * * * * [misc]progress: [ 1282 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ 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)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ 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)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1283 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1284 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1285 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1286 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1287 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (397 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1288 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1289 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- 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))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- 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))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * * [misc]simplify: iters left: 1 (405 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1290 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (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 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (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 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1291 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 1292 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (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)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (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)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * * * * [misc]progress: [ 1293 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* 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) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* 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) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1294 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * * * * [misc]progress: [ 1295 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1296 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * * * * [misc]progress: [ 1297 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ (* (+ 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) (* (- phi1 phi2) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ (* (+ 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) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1298 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 1299 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1300 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1301 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1302 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1303 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1304 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1305 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1306 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1307 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1308 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 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))))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 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))))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1309 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1310 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1311 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1312 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1313 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (345 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1314 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 1315 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1316 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- 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)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 1317 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1318 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* 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)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* 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)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * * * * [misc]progress: [ 1319 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1320 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* 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)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* 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)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * * * * [misc]progress: [ 1321 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1322 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (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)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (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)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * * * * [misc]progress: [ 1323 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [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))))) (* (- (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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [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))))) (* (- (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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * * * * [misc]progress: [ 1324 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1325 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1326 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [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))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [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))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1327 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (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)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1328 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [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))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [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))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1329 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ 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) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ 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) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1330 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (433 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1331 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi2 phi1) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi2 phi1) (- phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (+ phi1 phi2) (cbrt (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (+ phi1 phi2) (cbrt (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) * * * * [misc]progress: [ 1332 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 1333 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1334 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1335 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 1336 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1337 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 1338 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * * * * [misc]progress: [ 1339 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 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 (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 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 (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * * * * [misc]progress: [ 1340 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* 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)) (* (- 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)) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* 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)) (* (- 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)) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1341 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1342 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1343 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [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)) (* (+ 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 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) * [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)) (* (+ 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 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1344 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1345 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (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) (* (+ lambda1 lambda2) lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (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) (* (+ lambda1 lambda2) lambda2))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1346 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (433 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1347 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi2 phi1) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi2 phi1) (- phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (+ phi1 phi2) (cbrt (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (+ phi1 phi2) (cbrt (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) * * * * [misc]progress: [ 1348 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 1349 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1350 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1351 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 1352 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1353 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 1354 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (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 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (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 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1355 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1356 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1357 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1358 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1359 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1360 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1361 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * * [misc]simplify: iters left: 3 (493 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1362 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1363 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1364 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1365 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1366 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1367 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (395 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (cbrt (+ lambda1 lambda2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1368 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1369 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1370 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1371 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1372 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 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 lambda2)))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 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 lambda2)))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1373 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1374 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1375 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1376 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1377 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1378 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1379 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1380 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1381 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1382 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1383 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (416 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1384 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1385 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1386 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 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) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 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) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (433 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1387 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1388 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1389 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ 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) (+ lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ 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) (+ lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1390 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1391 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1392 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1393 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1394 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1395 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1396 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1397 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1398 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [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))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [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))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1399 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1400 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [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))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [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))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1401 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1402 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 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) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 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) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (433 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1403 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1404 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1405 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ 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) (+ lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ 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) (+ lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1406 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1407 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1408 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1409 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1410 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1411 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1412 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1413 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1414 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1415 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1416 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1417 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1418 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (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 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (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 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1419 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (279 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) * * * * [misc]progress: [ 1420 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (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)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (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)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) * * * * [misc]progress: [ 1421 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* 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) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* 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) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1422 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * * * * [misc]progress: [ 1423 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1424 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * * * * [misc]progress: [ 1425 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ (* (+ 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) (* (- phi1 phi2) (+ phi2 phi1)))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ (* (+ 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) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1426 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 1427 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1428 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1429 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (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)) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (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)) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1430 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1431 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1432 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [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)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1433 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1434 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1435 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1436 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 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))))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 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))))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1437 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (425 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1438 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1439 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1440 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1441 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (346 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1442 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (- (pow phi1 3) (pow phi2 3)) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 1443 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1444 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 1445 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1446 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (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)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (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)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * * * * [misc]progress: [ 1447 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1448 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (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)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (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)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) * * * * [misc]progress: [ 1449 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1450 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * * * * [misc]progress: [ 1451 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 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 (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 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 (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * * * * [misc]progress: [ 1452 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* 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)) (* (- 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)) (- lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* 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)) (* (- 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)) (- lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1453 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1454 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1455 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [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)) (* (+ 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))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (- phi1 phi2)))))) * [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)) (* (+ 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))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1456 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1457 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [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)) (* (+ 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) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))))) * [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)) (* (+ 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) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1458 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (433 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1459 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi2 phi1) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi2 phi1) (- phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (+ phi1 phi2) (cbrt (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (+ phi1 phi2) (cbrt (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) * * * * [misc]progress: [ 1460 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ 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 (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ 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 (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 1461 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1462 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1463 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 1464 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1465 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 1466 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (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)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (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)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * * * * [misc]progress: [ 1467 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [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))))) (* (- (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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [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))))) (* (- (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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) * * * * [misc]progress: [ 1468 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [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))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [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))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (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) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1469 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1470 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [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))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [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))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1471 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1472 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [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))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [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))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1473 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ 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)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1474 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (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) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (433 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1475 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi2 phi1) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi2 phi1) (- phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (+ phi1 phi2) (cbrt (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (+ phi1 phi2) (cbrt (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))))) * * * * [misc]progress: [ 1476 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (+ (* (+ phi1 phi2) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 1477 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1478 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (442 enodes) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1479 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 1480 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * * [misc]simplify: iters left: 3 (442 enodes) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [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)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1481 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) * * * * [misc]progress: [ 1482 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (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 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (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 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1483 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (+ phi2 phi1) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1484 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1485 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1486 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1487 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (471 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1488 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (+ 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)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (+ 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)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1489 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1490 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1491 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (359 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1492 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * * [misc]simplify: iters left: 3 (489 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1493 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1494 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- phi1 phi2) (- (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)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- phi1 phi2) (- (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)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1495 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1496 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1497 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1498 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (98 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1499 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1500 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* (+ phi2 phi1) phi1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1501 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1502 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1503 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1504 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1505 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1506 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1507 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (+ phi2 phi1) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1508 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1509 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1510 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1511 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (397 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1512 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1513 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1514 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (433 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1515 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi2 phi1) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi2 phi1) (- phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1516 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1517 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1518 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (441 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1519 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ 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 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1520 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (441 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (- phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (- phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1521 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1522 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1523 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1524 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1525 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1526 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1527 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1528 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1529 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1530 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (433 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1531 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ 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 (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi2 phi1) (- phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ 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 (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (+ phi2 phi1) (- phi1 phi2))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1532 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (462 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1533 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1534 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (441 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1535 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (374 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1536 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * * [misc]simplify: iters left: 3 (441 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (- phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (- phi1 phi2) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1537 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1538 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1539 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1540 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (49 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1541 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1542 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1543 / 5901 ] simplifiying candidate # * [enter]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)))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1544 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (303 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1545 / 5901 ] simplifiying candidate # * [enter]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))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1546 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [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 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))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [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 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))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1547 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1548 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* (+ phi1 phi2) phi2) (* phi1 phi1)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1549 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [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))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [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))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 1550 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (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))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (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))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (366 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1551 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [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))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [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))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [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)))) (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * [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)))) (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1552 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (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))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (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))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (366 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1553 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [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))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [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))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [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)))) (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * [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)))) (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1554 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * * * * [misc]progress: [ 1555 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 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 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) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 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 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) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1556 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (298 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1557 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1558 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (pow phi1 3) (pow phi2 3))))) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 1559 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1560 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ 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)))) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ 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)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 1561 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1562 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 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)))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 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)))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* 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)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * * * * [misc]progress: [ 1563 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1564 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1565 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 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 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) * * * * [misc]progress: [ 1566 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 1567 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) * * * * [misc]progress: [ 1568 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (* (+ 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)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (* (+ 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)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) * * * * [misc]progress: [ 1569 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) * * * * [misc]progress: [ 1570 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 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 (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 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 (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (465 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1571 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) * * * * [misc]progress: [ 1572 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) * * * * [misc]progress: [ 1573 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (- phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ 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 (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (* (+ phi2 phi1) (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (- phi1 phi2)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ 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 (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1574 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1575 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ 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 (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ 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 (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1576 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1577 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ 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 (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ 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 (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1578 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 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)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 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)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 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)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 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)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1579 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 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)) (* (+ phi2 phi1) (- phi1 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) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 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)) (* (+ phi2 phi1) (- phi1 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) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1580 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1581 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [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) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [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) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1582 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1583 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ 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))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ 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))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1584 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1585 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [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 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [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 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1586 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 1587 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* 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) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* 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) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1588 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1589 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda1 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 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1590 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1591 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [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 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [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 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1592 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1593 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 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))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 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))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1594 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 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)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 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)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 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)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 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)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1595 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 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)) (* (+ phi2 phi1) (- phi1 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) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 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)) (* (+ phi2 phi1) (- phi1 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) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1596 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1597 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [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) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [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) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1598 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1599 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ 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))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ 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))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1600 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1601 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [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 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [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 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1602 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 1603 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 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) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 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) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1604 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1605 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (496 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1606 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1607 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- 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 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- 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 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1608 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1609 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (99 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [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 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [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 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)))) * * * * [misc]progress: [ 1610 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * * * * [misc]progress: [ 1611 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (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) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (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) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * * * * [misc]progress: [ 1612 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1613 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ 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 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ 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 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1614 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * * * * [misc]progress: [ 1615 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))))) * * * * [misc]progress: [ 1616 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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))))))) (* (* (* (cbrt (* (+ 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)))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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))))))) (* (* (* (cbrt (* (+ 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)))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) * * * * [misc]progress: [ 1617 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (- phi1 phi2) (+ phi2 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) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (- phi1 phi2) (+ phi2 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) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))))) * * * * [misc]progress: [ 1618 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1619 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1620 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1621 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 1622 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1623 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1624 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * * [misc]simplify: iters left: 3 (481 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1625 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1626 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1627 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1628 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (441 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1629 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * * [misc]simplify: iters left: 2 (448 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * * * [misc]progress: [ 1630 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (cbrt (* (+ 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))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (cbrt (* (+ 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))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1631 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi2 phi1) (- 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 (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi2 phi1) (- 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 (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1632 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1633 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * * [misc]simplify: iters left: 3 (432 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1634 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 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 (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 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 (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1635 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (383 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1636 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (* (+ phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1637 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (437 enodes) * [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) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [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) (+ lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * * [misc]simplify: iters left: 2 (467 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1638 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1639 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1640 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1641 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (378 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1642 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1643 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1644 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 1645 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1646 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1647 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ 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))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ 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))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1648 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1649 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ 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))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ 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))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1650 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (+ 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)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (+ 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)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1651 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1652 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1653 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1654 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1655 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1656 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1657 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- 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 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- 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 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1658 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1659 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1660 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)))) * * * * [misc]progress: [ 1661 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1662 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1663 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ 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))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ 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))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1664 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * * [misc]simplify: iters left: 3 (474 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1665 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ 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))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ 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))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1666 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1667 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (+ lambda1 lambda2)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1668 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1669 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (+ lambda1 lambda2))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1670 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1671 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- 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) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- 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) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1672 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (475 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1673 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (+ lambda1 lambda2))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1674 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (289 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* 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))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* 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))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))))) * * * * [misc]progress: [ 1675 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (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) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (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) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1676 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- 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))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (224 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1677 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ 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 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ 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 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1678 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (- phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 1679 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (366 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1680 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ 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)))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ 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))))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)))) (* (* (* (cbrt (* (+ 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)))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) * * * * [misc]progress: [ 1681 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi2 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) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi2 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) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (366 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1682 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (116 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (pow phi1 3) (pow phi2 3))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (452 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1683 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (+ phi2 phi1) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (+ phi2 phi1) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1684 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (442 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1685 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (+ phi1 phi2)))) * * * * [misc]progress: [ 1686 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (cbrt (* (+ 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))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- phi1 phi2) (cbrt (* (+ 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))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1687 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: iters left: 3 (429 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- 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 (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- 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 (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1688 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (- phi1 phi2)))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* (+ phi2 phi1) phi2) (* phi1 phi1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1689 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * * [misc]simplify: iters left: 3 (433 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1690 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [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) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* 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))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [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) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* 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))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1691 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi1 phi1) (* (+ phi1 phi2) phi2)) (+ phi1 phi2))))) * * * * [misc]progress: [ 1692 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (477 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1693 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi1 phi2) (+ phi1 phi2))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (+ phi1 phi2) (+ phi1 phi2))))) * * * * [misc]progress: [ 1694 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1695 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (373 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1696 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1697 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (224 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * * [misc]simplify: iters left: 1 (326 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1698 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (103 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 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 (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ (* (+ phi2 phi1) phi2) (* phi1 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 (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1699 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (377 enodes) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ phi1 phi2) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 phi1) (* (+ phi1 phi2) phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1700 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (+ phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * [exit]simplify: Simplified to (sqrt (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (+ phi1 phi2) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))))) * * * * [misc]progress: [ 1701 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) * * * * [misc]progress: [ 1702 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (437 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * * [misc]simplify: iters left: 2 (449 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * * * * [misc]progress: [ 1703 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1704 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * * [misc]simplify: iters left: 3 (437 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* (+ phi2 phi1) phi2) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * * [misc]simplify: iters left: 2 (449 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) * * * * [misc]progress: [ 1705 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (370 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1706 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1707 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1708 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1709 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1710 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1711 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) * * * * [misc]progress: [ 1712 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1713 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) * * * * [misc]progress: [ 1714 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 1715 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1716 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * * [misc]simplify: iters left: 3 (499 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1717 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1718 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1719 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- 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 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (- 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 (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) * * * * [misc]progress: [ 1720 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1721 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (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))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (- phi1 phi2) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (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))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (- phi1 phi2) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) * * * * [misc]progress: [ 1722 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) 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))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) * * * * [misc]progress: [ 1723 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) * * * * [misc]progress: [ 1724 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * [exit]simplify: Simplified to (sqrt (* (* (+ phi2 phi1) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) * * * * [misc]progress: [ 1725 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [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))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1726 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1727 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) * * * * [misc]progress: [ 1728 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))))) * [enter]simplify: Simplifying (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))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1729 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) * * * * [misc]progress: [ 1730 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (112 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ (* phi1 phi1) (* (+ phi2 phi1) phi2))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) * * * * [misc]progress: [ 1731 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1732 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ (* phi1 phi1) (* (+ phi2 phi1) phi2)) (+ phi2 phi1)) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))))))) * [enter]simplify: Simplifying (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)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1733 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda1 lambda2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda1 lambda2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ phi2 phi1)))) * * * * [misc]progress: [ 1734 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1735 / 5901 ] simplifiying candidate # * [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)))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (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 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))) * * * * [misc]progress: [ 1736 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * [exit]simplify: Simplified to (sqrt (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))))) * * * * [misc]progress: [ 1737 / 5901 ] simplifiying candidate # * [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))))) * * [misc]simplify: iters left: 6 (47 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- 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))))))) (* (- phi1 phi2) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- 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))))))) (* (- phi1 phi2) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))))) * [enter]simplify: Simplifying (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2))) * * [misc]simplify: iters left: 6 (20 enodes)